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Finding the Fourth Proportional to 499,507.86, 689,306.85 and 273,148.50

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Solution

The fourth proportional to 499,507.86, 689,306.85 and 273,148.50 is: 376,937.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,507.86 : 689,306.85 = 273,148.50 : x
  2. Step 2: Convert to fraction form
    499,507.86/689,306.85 = 273,148.50/x
  3. Step 3: Cross multiply
    499,507.86x = 689,306.85 × 273,148.50
  4. Step 4: Simplify right side
    499,507.86x = 188,283,132,117.23
  5. Step 5: Solve for x
    x = 188,283,132,117.23/499,507.86
  6. Step 6: Final answer
    x = 376,937.28

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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.