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Finding the Fourth Proportional to 517,455.28, 775,259.50 and 280,646.92

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Solution

The fourth proportional to 517,455.28, 775,259.50 and 280,646.92 is: 420,469.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,455.28 : 775,259.50 = 280,646.92 : x
  2. Step 2: Convert to fraction form
    517,455.28/775,259.50 = 280,646.92/x
  3. Step 3: Cross multiply
    517,455.28x = 775,259.50 × 280,646.92
  4. Step 4: Simplify right side
    517,455.28x = 217,574,190,875.74
  5. Step 5: Solve for x
    x = 217,574,190,875.74/517,455.28
  6. Step 6: Final answer
    x = 420,469.55

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1.5x scale

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.