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Finding the Fourth Proportional to 389,602.74, 584,420.78 and 152,996.61

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Solution

The fourth proportional to 389,602.74, 584,420.78 and 152,996.61 is: 229,501.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,602.74 : 584,420.78 = 152,996.61 : x
  2. Step 2: Convert to fraction form
    389,602.74/584,420.78 = 152,996.61/x
  3. Step 3: Cross multiply
    389,602.74x = 584,420.78 × 152,996.61
  4. Step 4: Simplify right side
    389,602.74x = 89,414,394,466.47
  5. Step 5: Solve for x
    x = 89,414,394,466.47/389,602.74
  6. Step 6: Final answer
    x = 229,501.45

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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.