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Finding the Fourth Proportional to 614,021.60, 847,291.92 and 342,061.76

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Solution

The fourth proportional to 614,021.60, 847,291.92 and 342,061.76 is: 472,012.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,021.60 : 847,291.92 = 342,061.76 : x
  2. Step 2: Convert to fraction form
    614,021.60/847,291.92 = 342,061.76/x
  3. Step 3: Cross multiply
    614,021.60x = 847,291.92 × 342,061.76
  4. Step 4: Simplify right side
    614,021.60x = 289,826,165,388.98
  5. Step 5: Solve for x
    x = 289,826,165,388.98/614,021.60
  6. Step 6: Final answer
    x = 472,012.98

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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.