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Finding the Fourth Proportional to 516,306.72, 712,507.68 and 289,973.28

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Solution

The fourth proportional to 516,306.72, 712,507.68 and 289,973.28 is: 400,165.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,306.72 : 712,507.68 = 289,973.28 : x
  2. Step 2: Convert to fraction form
    516,306.72/712,507.68 = 289,973.28/x
  3. Step 3: Cross multiply
    516,306.72x = 712,507.68 × 289,973.28
  4. Step 4: Simplify right side
    516,306.72x = 206,608,188,994.79
  5. Step 5: Solve for x
    x = 206,608,188,994.79/516,306.72
  6. Step 6: Final answer
    x = 400,165.60

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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.