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Finding the Fourth Proportional to 390,678.08, 586,199.43 and 138,149.82

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Solution

The fourth proportional to 390,678.08, 586,199.43 and 138,149.82 is: 207,289.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,678.08 : 586,199.43 = 138,149.82 : x
  2. Step 2: Convert to fraction form
    390,678.08/586,199.43 = 138,149.82/x
  3. Step 3: Cross multiply
    390,678.08x = 586,199.43 × 138,149.82
  4. Step 4: Simplify right side
    390,678.08x = 80,983,345,738.60
  5. Step 5: Solve for x
    x = 80,983,345,738.60/390,678.08
  6. Step 6: Final answer
    x = 207,289.20

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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.