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Finding the Fourth Proportional to 614,428.20, 921,642.30 and 564,661.80

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Solution

The fourth proportional to 614,428.20, 921,642.30 and 564,661.80 is: 846,992.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,428.20 : 921,642.30 = 564,661.80 : x
  2. Step 2: Convert to fraction form
    614,428.20/921,642.30 = 564,661.80/x
  3. Step 3: Cross multiply
    614,428.20x = 921,642.30 × 564,661.80
  4. Step 4: Simplify right side
    614,428.20x = 520,416,200,074.14
  5. Step 5: Solve for x
    x = 520,416,200,074.14/614,428.20
  6. Step 6: Final answer
    x = 846,992.70

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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.