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Finding the Fourth Proportional to 390,713.44, 586,143.12 and 177,496.32

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Solution

The fourth proportional to 390,713.44, 586,143.12 and 177,496.32 is: 266,277.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,713.44 : 586,143.12 = 177,496.32 : x
  2. Step 2: Convert to fraction form
    390,713.44/586,143.12 = 177,496.32/x
  3. Step 3: Cross multiply
    390,713.44x = 586,143.12 × 177,496.32
  4. Step 4: Simplify right side
    390,713.44x = 104,038,246,793.32
  5. Step 5: Solve for x
    x = 104,038,246,793.32/390,713.44
  6. Step 6: Final answer
    x = 266,277.62

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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.