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Finding the Fourth Proportional to 390,815.76, 586,293.84 and 138,242.64

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Solution

The fourth proportional to 390,815.76, 586,293.84 and 138,242.64 is: 207,388.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,815.76 : 586,293.84 = 138,242.64 : x
  2. Step 2: Convert to fraction form
    390,815.76/586,293.84 = 138,242.64/x
  3. Step 3: Cross multiply
    390,815.76x = 586,293.84 × 138,242.64
  4. Step 4: Simplify right side
    390,815.76x = 81,050,808,257.34
  5. Step 5: Solve for x
    x = 81,050,808,257.34/390,815.76
  6. Step 6: Final answer
    x = 207,388.79

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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.