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Finding the Fourth Proportional to 516,432.51, 772,270.61 and 491,238.27

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Solution

The fourth proportional to 516,432.51, 772,270.61 and 491,238.27 is: 734,595.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,432.51 : 772,270.61 = 491,238.27 : x
  2. Step 2: Convert to fraction form
    516,432.51/772,270.61 = 491,238.27/x
  3. Step 3: Cross multiply
    516,432.51x = 772,270.61 × 491,238.27
  4. Step 4: Simplify right side
    516,432.51x = 379,368,875,972.05
  5. Step 5: Solve for x
    x = 379,368,875,972.05/516,432.51
  6. Step 6: Final answer
    x = 734,595.26

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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.