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Finding the Fourth Proportional to 522,496.80, 782,578.80 and 403,783.20

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Solution

The fourth proportional to 522,496.80, 782,578.80 and 403,783.20 is: 604,773.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,496.80 : 782,578.80 = 403,783.20 : x
  2. Step 2: Convert to fraction form
    522,496.80/782,578.80 = 403,783.20/x
  3. Step 3: Cross multiply
    522,496.80x = 782,578.80 × 403,783.20
  4. Step 4: Simplify right side
    522,496.80x = 315,992,172,116.16
  5. Step 5: Solve for x
    x = 315,992,172,116.16/522,496.80
  6. Step 6: Final answer
    x = 604,773.41

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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.