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Finding the Fourth Proportional to 689,507.64, 951,417.90 and 387,643.32

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Solution

The fourth proportional to 689,507.64, 951,417.90 and 387,643.32 is: 534,890.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,507.64 : 951,417.90 = 387,643.32 : x
  2. Step 2: Convert to fraction form
    689,507.64/951,417.90 = 387,643.32/x
  3. Step 3: Cross multiply
    689,507.64x = 951,417.90 × 387,643.32
  4. Step 4: Simplify right side
    689,507.64x = 368,810,793,463.43
  5. Step 5: Solve for x
    x = 368,810,793,463.43/689,507.64
  6. Step 6: Final answer
    x = 534,890.08

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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.