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Finding the Fourth Proportional to 522,877.80, 783,150.30 and 429,565.80

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Solution

The fourth proportional to 522,877.80, 783,150.30 and 429,565.80 is: 643,390.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,877.80 : 783,150.30 = 429,565.80 : x
  2. Step 2: Convert to fraction form
    522,877.80/783,150.30 = 429,565.80/x
  3. Step 3: Cross multiply
    522,877.80x = 783,150.30 × 429,565.80
  4. Step 4: Simplify right side
    522,877.80x = 336,414,585,139.74
  5. Step 5: Solve for x
    x = 336,414,585,139.74/522,877.80
  6. Step 6: Final answer
    x = 643,390.45

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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.