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Finding the Fourth Proportional to 643,264.31, 963,678.56 and 429,387.32

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Solution

The fourth proportional to 643,264.31, 963,678.56 and 429,387.32 is: 643,268.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,264.31 : 963,678.56 = 429,387.32 : x
  2. Step 2: Convert to fraction form
    643,264.31/963,678.56 = 429,387.32/x
  3. Step 3: Cross multiply
    643,264.31x = 963,678.56 × 429,387.32
  4. Step 4: Simplify right side
    643,264.31x = 413,791,347,254.53
  5. Step 5: Solve for x
    x = 413,791,347,254.53/643,264.31
  6. Step 6: Final answer
    x = 643,268.01

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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.