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Finding the Fourth Proportional to 390,127.76, 585,360.66 and 137,588.72

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Solution

The fourth proportional to 390,127.76, 585,360.66 and 137,588.72 is: 206,442.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,127.76 : 585,360.66 = 137,588.72 : x
  2. Step 2: Convert to fraction form
    390,127.76/585,360.66 = 137,588.72/x
  3. Step 3: Cross multiply
    390,127.76x = 585,360.66 × 137,588.72
  4. Step 4: Simplify right side
    390,127.76x = 80,539,023,947.76
  5. Step 5: Solve for x
    x = 80,539,023,947.76/390,127.76
  6. Step 6: Final answer
    x = 206,442.69

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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.