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Finding the Fourth Proportional to 515,938.74, 711,956.40 and 289,540.50

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Solution

The fourth proportional to 515,938.74, 711,956.40 and 289,540.50 is: 399,543.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,938.74 : 711,956.40 = 289,540.50 : x
  2. Step 2: Convert to fraction form
    515,938.74/711,956.40 = 289,540.50/x
  3. Step 3: Cross multiply
    515,938.74x = 711,956.40 × 289,540.50
  4. Step 4: Simplify right side
    515,938.74x = 206,140,212,034.20
  5. Step 5: Solve for x
    x = 206,140,212,034.20/515,938.74
  6. Step 6: Final answer
    x = 399,543.97

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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.