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Finding the Fourth Proportional to 614,401.48, 847,877.88 and 342,486.64

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Solution

The fourth proportional to 614,401.48, 847,877.88 and 342,486.64 is: 472,633.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,401.48 : 847,877.88 = 342,486.64 : x
  2. Step 2: Convert to fraction form
    614,401.48/847,877.88 = 342,486.64/x
  3. Step 3: Cross multiply
    614,401.48x = 847,877.88 × 342,486.64
  4. Step 4: Simplify right side
    614,401.48x = 290,386,846,251.52
  5. Step 5: Solve for x
    x = 290,386,846,251.52/614,401.48
  6. Step 6: Final answer
    x = 472,633.70

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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.