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Finding the Fourth Proportional to 402,428.12, 603,700.14 and 121,967.24

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Solution

The fourth proportional to 402,428.12, 603,700.14 and 121,967.24 is: 182,968.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,428.12 : 603,700.14 = 121,967.24 : x
  2. Step 2: Convert to fraction form
    402,428.12/603,700.14 = 121,967.24/x
  3. Step 3: Cross multiply
    402,428.12x = 603,700.14 × 121,967.24
  4. Step 4: Simplify right side
    402,428.12x = 73,631,639,863.41
  5. Step 5: Solve for x
    x = 73,631,639,863.41/402,428.12
  6. Step 6: Final answer
    x = 182,968.43

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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.