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Finding the Fourth Proportional to 517,221.60, 713,757.20 and 287,776.48

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Solution

The fourth proportional to 517,221.60, 713,757.20 and 287,776.48 is: 397,126.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,221.60 : 713,757.20 = 287,776.48 : x
  2. Step 2: Convert to fraction form
    517,221.60/713,757.20 = 287,776.48/x
  3. Step 3: Cross multiply
    517,221.60x = 713,757.20 × 287,776.48
  4. Step 4: Simplify right side
    517,221.60x = 205,402,534,590.66
  5. Step 5: Solve for x
    x = 205,402,534,590.66/517,221.60
  6. Step 6: Final answer
    x = 397,126.75

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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.