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Finding the Fourth Proportional to 487,496, 731,246.34 and 127,666.16

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Solution

The fourth proportional to 487,496, 731,246.34 and 127,666.16 is: 191,499.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,496 : 731,246.34 = 127,666.16 : x
  2. Step 2: Convert to fraction form
    487,496/731,246.34 = 127,666.16/x
  3. Step 3: Cross multiply
    487,496x = 731,246.34 × 127,666.16
  4. Step 4: Simplify right side
    487,496x = 93,355,412,241.85
  5. Step 5: Solve for x
    x = 93,355,412,241.85/487,496
  6. Step 6: Final answer
    x = 191,499.85

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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.