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Finding the Fourth Proportional to 421,712.80, 632,569.20 and 381,034.60

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Solution

The fourth proportional to 421,712.80, 632,569.20 and 381,034.60 is: 571,551.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,712.80 : 632,569.20 = 381,034.60 : x
  2. Step 2: Convert to fraction form
    421,712.80/632,569.20 = 381,034.60/x
  3. Step 3: Cross multiply
    421,712.80x = 632,569.20 × 381,034.60
  4. Step 4: Simplify right side
    421,712.80x = 241,030,752,094.32
  5. Step 5: Solve for x
    x = 241,030,752,094.32/421,712.80
  6. Step 6: Final answer
    x = 571,551.90

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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.