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Finding the Fourth Proportional to 457,988.30, 686,797.87 and 138,041.14

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Solution

The fourth proportional to 457,988.30, 686,797.87 and 138,041.14 is: 207,006.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,988.30 : 686,797.87 = 138,041.14 : x
  2. Step 2: Convert to fraction form
    457,988.30/686,797.87 = 138,041.14/x
  3. Step 3: Cross multiply
    457,988.30x = 686,797.87 × 138,041.14
  4. Step 4: Simplify right side
    457,988.30x = 94,806,360,924.37
  5. Step 5: Solve for x
    x = 94,806,360,924.37/457,988.30
  6. Step 6: Final answer
    x = 207,006.08

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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.