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Finding the Fourth Proportional to 486,543.30, 729,705.60 and 319,237.80

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Solution

The fourth proportional to 486,543.30, 729,705.60 and 319,237.80 is: 478,784.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,543.30 : 729,705.60 = 319,237.80 : x
  2. Step 2: Convert to fraction form
    486,543.30/729,705.60 = 319,237.80/x
  3. Step 3: Cross multiply
    486,543.30x = 729,705.60 × 319,237.80
  4. Step 4: Simplify right side
    486,543.30x = 232,949,610,391.68
  5. Step 5: Solve for x
    x = 232,949,610,391.68/486,543.30
  6. Step 6: Final answer
    x = 478,784.95

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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.