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Finding the Fourth Proportional to 487,956.50, 731,963.45 and 188,438.66

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Solution

The fourth proportional to 487,956.50, 731,963.45 and 188,438.66 is: 282,669.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,956.50 : 731,963.45 = 188,438.66 : x
  2. Step 2: Convert to fraction form
    487,956.50/731,963.45 = 188,438.66/x
  3. Step 3: Cross multiply
    487,956.50x = 731,963.45 × 188,438.66
  4. Step 4: Simplify right side
    487,956.50x = 137,930,208,498.26
  5. Step 5: Solve for x
    x = 137,930,208,498.26/487,956.50
  6. Step 6: Final answer
    x = 282,669.07

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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.