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Finding the Fourth Proportional to 487,955.75, 731,962.33 and 188,437.90

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Solution

The fourth proportional to 487,955.75, 731,962.33 and 188,437.90 is: 282,667.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,955.75 : 731,962.33 = 188,437.90 : x
  2. Step 2: Convert to fraction form
    487,955.75/731,962.33 = 188,437.90/x
  3. Step 3: Cross multiply
    487,955.75x = 731,962.33 × 188,437.90
  4. Step 4: Simplify right side
    487,955.75x = 137,929,444,788.17
  5. Step 5: Solve for x
    x = 137,929,444,788.17/487,955.75
  6. Step 6: Final answer
    x = 282,667.93

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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.