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Finding the Fourth Proportional to 515,401.92, 711,290.16 and 289,062

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Solution

The fourth proportional to 515,401.92, 711,290.16 and 289,062 is: 398,925.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,401.92 : 711,290.16 = 289,062 : x
  2. Step 2: Convert to fraction form
    515,401.92/711,290.16 = 289,062/x
  3. Step 3: Cross multiply
    515,401.92x = 711,290.16 × 289,062
  4. Step 4: Simplify right side
    515,401.92x = 205,606,956,229.92
  5. Step 5: Solve for x
    x = 205,606,956,229.92/515,401.92
  6. Step 6: Final answer
    x = 398,925.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.