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Finding the Fourth Proportional to 390,119.76, 585,348.66 and 137,580.71

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Solution

The fourth proportional to 390,119.76, 585,348.66 and 137,580.71 is: 206,430.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,119.76 : 585,348.66 = 137,580.71 : x
  2. Step 2: Convert to fraction form
    390,119.76/585,348.66 = 137,580.71/x
  3. Step 3: Cross multiply
    390,119.76x = 585,348.66 × 137,580.71
  4. Step 4: Simplify right side
    390,119.76x = 80,532,681,313.61
  5. Step 5: Solve for x
    x = 80,532,681,313.61/390,119.76
  6. Step 6: Final answer
    x = 206,430.66

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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.