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Finding the Fourth Proportional to 514,400.96, 709,885.92 and 288,092.48

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Solution

The fourth proportional to 514,400.96, 709,885.92 and 288,092.48 is: 397,574.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,400.96 : 709,885.92 = 288,092.48 : x
  2. Step 2: Convert to fraction form
    514,400.96/709,885.92 = 288,092.48/x
  3. Step 3: Cross multiply
    514,400.96x = 709,885.92 × 288,092.48
  4. Step 4: Simplify right side
    514,400.96x = 204,512,795,209.88
  5. Step 5: Solve for x
    x = 204,512,795,209.88/514,400.96
  6. Step 6: Final answer
    x = 397,574.68

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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.