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Finding the Fourth Proportional to 437,680.80, 656,780.40 and 319,053.60

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Solution

The fourth proportional to 437,680.80, 656,780.40 and 319,053.60 is: 478,769.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,680.80 : 656,780.40 = 319,053.60 : x
  2. Step 2: Convert to fraction form
    437,680.80/656,780.40 = 319,053.60/x
  3. Step 3: Cross multiply
    437,680.80x = 656,780.40 × 319,053.60
  4. Step 4: Simplify right side
    437,680.80x = 209,548,151,029.44
  5. Step 5: Solve for x
    x = 209,548,151,029.44/437,680.80
  6. Step 6: Final answer
    x = 478,769.35

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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.