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Finding the Fourth Proportional to 515,862.64, 711,956.04 and 289,508.12

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Solution

The fourth proportional to 515,862.64, 711,956.04 and 289,508.12 is: 399,558.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,862.64 : 711,956.04 = 289,508.12 : x
  2. Step 2: Convert to fraction form
    515,862.64/711,956.04 = 289,508.12/x
  3. Step 3: Cross multiply
    515,862.64x = 711,956.04 × 289,508.12
  4. Step 4: Simplify right side
    515,862.64x = 206,117,054,663.05
  5. Step 5: Solve for x
    x = 206,117,054,663.05/515,862.64
  6. Step 6: Final answer
    x = 399,558.02

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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.