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Finding the Fourth Proportional to 487,773.56, 731,642.75 and 127,941.53

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Solution

The fourth proportional to 487,773.56, 731,642.75 and 127,941.53 is: 191,907.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,773.56 : 731,642.75 = 127,941.53 : x
  2. Step 2: Convert to fraction form
    487,773.56/731,642.75 = 127,941.53/x
  3. Step 3: Cross multiply
    487,773.56x = 731,642.75 × 127,941.53
  4. Step 4: Simplify right side
    487,773.56x = 93,607,494,997.37
  5. Step 5: Solve for x
    x = 93,607,494,997.37/487,773.56
  6. Step 6: Final answer
    x = 191,907.69

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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.