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Finding the Fourth Proportional to 802,192.64, 1,107,529.08 and 516,209.72

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Solution

The fourth proportional to 802,192.64, 1,107,529.08 and 516,209.72 is: 712,693.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,192.64 : 1,107,529.08 = 516,209.72 : x
  2. Step 2: Convert to fraction form
    802,192.64/1,107,529.08 = 516,209.72/x
  3. Step 3: Cross multiply
    802,192.64x = 1,107,529.08 × 516,209.72
  4. Step 4: Simplify right side
    802,192.64x = 571,717,276,278.66
  5. Step 5: Solve for x
    x = 571,717,276,278.66/802,192.64
  6. Step 6: Final answer
    x = 712,693.25

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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.