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Finding the Fourth Proportional to 557,337.32, 769,172.94 and 315,662.89

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Solution

The fourth proportional to 557,337.32, 769,172.94 and 315,662.89 is: 435,641.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,337.32 : 769,172.94 = 315,662.89 : x
  2. Step 2: Convert to fraction form
    557,337.32/769,172.94 = 315,662.89/x
  3. Step 3: Cross multiply
    557,337.32x = 769,172.94 × 315,662.89
  4. Step 4: Simplify right side
    557,337.32x = 242,799,347,726.02
  5. Step 5: Solve for x
    x = 242,799,347,726.02/557,337.32
  6. Step 6: Final answer
    x = 435,641.65

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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.