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Finding the Fourth Proportional to 522,524.75, 721,150.85 and 307,684.80

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Solution

The fourth proportional to 522,524.75, 721,150.85 and 307,684.80 is: 424,644.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,524.75 : 721,150.85 = 307,684.80 : x
  2. Step 2: Convert to fraction form
    522,524.75/721,150.85 = 307,684.80/x
  3. Step 3: Cross multiply
    522,524.75x = 721,150.85 × 307,684.80
  4. Step 4: Simplify right side
    522,524.75x = 221,887,153,513.66
  5. Step 5: Solve for x
    x = 221,887,153,513.66/522,524.75
  6. Step 6: Final answer
    x = 424,644.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.