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Finding the Fourth Proportional to 614,438.10, 921,657.15 and 509,462.10

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Solution

The fourth proportional to 614,438.10, 921,657.15 and 509,462.10 is: 764,193.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,438.10 : 921,657.15 = 509,462.10 : x
  2. Step 2: Convert to fraction form
    614,438.10/921,657.15 = 509,462.10/x
  3. Step 3: Cross multiply
    614,438.10x = 921,657.15 × 509,462.10
  4. Step 4: Simplify right side
    614,438.10x = 469,549,387,119.02
  5. Step 5: Solve for x
    x = 469,549,387,119.02/614,438.10
  6. Step 6: Final answer
    x = 764,193.15

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.