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Finding the Fourth Proportional to 614,404.48, 847,882.04 and 342,489.64

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Solution

The fourth proportional to 614,404.48, 847,882.04 and 342,489.64 is: 472,637.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,404.48 : 847,882.04 = 342,489.64 : x
  2. Step 2: Convert to fraction form
    614,404.48/847,882.04 = 342,489.64/x
  3. Step 3: Cross multiply
    614,404.48x = 847,882.04 × 342,489.64
  4. Step 4: Simplify right side
    614,404.48x = 290,390,814,642.07
  5. Step 5: Solve for x
    x = 290,390,814,642.07/614,404.48
  6. Step 6: Final answer
    x = 472,637.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.