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Finding the Fourth Proportional to 389,646.80, 584,470.20 and 319,605.20

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Solution

The fourth proportional to 389,646.80, 584,470.20 and 319,605.20 is: 479,407.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,646.80 : 584,470.20 = 319,605.20 : x
  2. Step 2: Convert to fraction form
    389,646.80/584,470.20 = 319,605.20/x
  3. Step 3: Cross multiply
    389,646.80x = 584,470.20 × 319,605.20
  4. Step 4: Simplify right side
    389,646.80x = 186,799,715,165.04
  5. Step 5: Solve for x
    x = 186,799,715,165.04/389,646.80
  6. Step 6: Final answer
    x = 479,407.80

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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.