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Finding the Fourth Proportional to 442,177.68, 610,303.50 and 281,001

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Solution

The fourth proportional to 442,177.68, 610,303.50 and 281,001 is: 387,843.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,177.68 : 610,303.50 = 281,001 : x
  2. Step 2: Convert to fraction form
    442,177.68/610,303.50 = 281,001/x
  3. Step 3: Cross multiply
    442,177.68x = 610,303.50 × 281,001
  4. Step 4: Simplify right side
    442,177.68x = 171,495,893,803.50
  5. Step 5: Solve for x
    x = 171,495,893,803.50/442,177.68
  6. Step 6: Final answer
    x = 387,843.85

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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.