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Finding the Fourth Proportional to 658,220, 987,333.24 and 159,584

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Solution

The fourth proportional to 658,220, 987,333.24 and 159,584 is: 239,376.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,220 : 987,333.24 = 159,584 : x
  2. Step 2: Convert to fraction form
    658,220/987,333.24 = 159,584/x
  3. Step 3: Cross multiply
    658,220x = 987,333.24 × 159,584
  4. Step 4: Simplify right side
    658,220x = 157,562,587,772.16
  5. Step 5: Solve for x
    x = 157,562,587,772.16/658,220
  6. Step 6: Final answer
    x = 239,376.79

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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.