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Finding the Fourth Proportional to 390,146.44, 585,337.62 and 276,514

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Solution

The fourth proportional to 390,146.44, 585,337.62 and 276,514 is: 414,854.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,146.44 : 585,337.62 = 276,514 : x
  2. Step 2: Convert to fraction form
    390,146.44/585,337.62 = 276,514/x
  3. Step 3: Cross multiply
    390,146.44x = 585,337.62 × 276,514
  4. Step 4: Simplify right side
    390,146.44x = 161,854,046,656.68
  5. Step 5: Solve for x
    x = 161,854,046,656.68/390,146.44
  6. Step 6: Final answer
    x = 414,854.60

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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.