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Finding the Fourth Proportional to 557,512.62, 769,428.84 and 312,520.80

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Solution

The fourth proportional to 557,512.62, 769,428.84 and 312,520.80 is: 431,313.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,512.62 : 769,428.84 = 312,520.80 : x
  2. Step 2: Convert to fraction form
    557,512.62/769,428.84 = 312,520.80/x
  3. Step 3: Cross multiply
    557,512.62x = 769,428.84 × 312,520.80
  4. Step 4: Simplify right side
    557,512.62x = 240,462,516,619.87
  5. Step 5: Solve for x
    x = 240,462,516,619.87/557,512.62
  6. Step 6: Final answer
    x = 431,313.14

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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.