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Finding the Fourth Proportional to 392,218.61, 588,362.94 and 152,326.78

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Solution

The fourth proportional to 392,218.61, 588,362.94 and 152,326.78 is: 228,503.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,218.61 : 588,362.94 = 152,326.78 : x
  2. Step 2: Convert to fraction form
    392,218.61/588,362.94 = 152,326.78/x
  3. Step 3: Cross multiply
    392,218.61x = 588,362.94 × 152,326.78
  4. Step 4: Simplify right side
    392,218.61x = 89,623,430,650.63
  5. Step 5: Solve for x
    x = 89,623,430,650.63/392,218.61
  6. Step 6: Final answer
    x = 228,503.77

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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.