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Finding the Fourth Proportional to 390,086.28, 585,298.46 and 137,547.16

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Solution

The fourth proportional to 390,086.28, 585,298.46 and 137,547.16 is: 206,380.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,086.28 : 585,298.46 = 137,547.16 : x
  2. Step 2: Convert to fraction form
    390,086.28/585,298.46 = 137,547.16/x
  3. Step 3: Cross multiply
    390,086.28x = 585,298.46 × 137,547.16
  4. Step 4: Simplify right side
    390,086.28x = 80,506,142,324.60
  5. Step 5: Solve for x
    x = 80,506,142,324.60/390,086.28
  6. Step 6: Final answer
    x = 206,380.35

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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.