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Finding the Fourth Proportional to 515,898.74, 711,930.24 and 286,444.10

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Solution

The fourth proportional to 515,898.74, 711,930.24 and 286,444.10 is: 395,287.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,898.74 : 711,930.24 = 286,444.10 : x
  2. Step 2: Convert to fraction form
    515,898.74/711,930.24 = 286,444.10/x
  3. Step 3: Cross multiply
    515,898.74x = 711,930.24 × 286,444.10
  4. Step 4: Simplify right side
    515,898.74x = 203,928,213,299.93
  5. Step 5: Solve for x
    x = 203,928,213,299.93/515,898.74
  6. Step 6: Final answer
    x = 395,287.29

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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.