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Finding the Fourth Proportional to 399,807.64, 551,681.22 and 256,761.28

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Solution

The fourth proportional to 399,807.64, 551,681.22 and 256,761.28 is: 354,296.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,807.64 : 551,681.22 = 256,761.28 : x
  2. Step 2: Convert to fraction form
    399,807.64/551,681.22 = 256,761.28/x
  3. Step 3: Cross multiply
    399,807.64x = 551,681.22 × 256,761.28
  4. Step 4: Simplify right side
    399,807.64x = 141,650,376,199.16
  5. Step 5: Solve for x
    x = 141,650,376,199.16/399,807.64
  6. Step 6: Final answer
    x = 354,296.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.