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Finding the Fourth Proportional to 389,382.60, 584,071.28 and 209,552.66

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Solution

The fourth proportional to 389,382.60, 584,071.28 and 209,552.66 is: 314,327.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,382.60 : 584,071.28 = 209,552.66 : x
  2. Step 2: Convert to fraction form
    389,382.60/584,071.28 = 209,552.66/x
  3. Step 3: Cross multiply
    389,382.60x = 584,071.28 × 209,552.66
  4. Step 4: Simplify right side
    389,382.60x = 122,393,690,353.61
  5. Step 5: Solve for x
    x = 122,393,690,353.61/389,382.60
  6. Step 6: Final answer
    x = 314,327.58

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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.