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Finding the Fourth Proportional to 614,539.10, 921,808.65 and 401,962.70

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Solution

The fourth proportional to 614,539.10, 921,808.65 and 401,962.70 is: 602,944.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,539.10 : 921,808.65 = 401,962.70 : x
  2. Step 2: Convert to fraction form
    614,539.10/921,808.65 = 401,962.70/x
  3. Step 3: Cross multiply
    614,539.10x = 921,808.65 × 401,962.70
  4. Step 4: Simplify right side
    614,539.10x = 370,532,693,837.36
  5. Step 5: Solve for x
    x = 370,532,693,837.36/614,539.10
  6. Step 6: Final answer
    x = 602,944.05

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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.