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Finding the Fourth Proportional to 480,089.16, 720,385.20 and 311,569.80

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Solution

The fourth proportional to 480,089.16, 720,385.20 and 311,569.80 is: 467,517.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,089.16 : 720,385.20 = 311,569.80 : x
  2. Step 2: Convert to fraction form
    480,089.16/720,385.20 = 311,569.80/x
  3. Step 3: Cross multiply
    480,089.16x = 720,385.20 × 311,569.80
  4. Step 4: Simplify right side
    480,089.16x = 224,450,272,686.96
  5. Step 5: Solve for x
    x = 224,450,272,686.96/480,089.16
  6. Step 6: Final answer
    x = 467,517.89

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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.