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Finding the Fourth Proportional to 554,487.80, 830,565.30 and 461,175.80

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Solution

The fourth proportional to 554,487.80, 830,565.30 and 461,175.80 is: 690,793.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,487.80 : 830,565.30 = 461,175.80 : x
  2. Step 2: Convert to fraction form
    554,487.80/830,565.30 = 461,175.80/x
  3. Step 3: Cross multiply
    554,487.80x = 830,565.30 × 461,175.80
  4. Step 4: Simplify right side
    554,487.80x = 383,036,616,679.74
  5. Step 5: Solve for x
    x = 383,036,616,679.74/554,487.80
  6. Step 6: Final answer
    x = 690,793.59

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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.