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Finding the Fourth Proportional to 516,100.92, 774,259.05 and 260,077.38

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Solution

The fourth proportional to 516,100.92, 774,259.05 and 260,077.38 is: 390,170.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,100.92 : 774,259.05 = 260,077.38 : x
  2. Step 2: Convert to fraction form
    516,100.92/774,259.05 = 260,077.38/x
  3. Step 3: Cross multiply
    516,100.92x = 774,259.05 × 260,077.38
  4. Step 4: Simplify right side
    516,100.92x = 201,367,265,165.29
  5. Step 5: Solve for x
    x = 201,367,265,165.29/516,100.92
  6. Step 6: Final answer
    x = 390,170.33

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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.