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Finding the Fourth Proportional to 298,281.60, 447,432.64 and 101,264

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Solution

The fourth proportional to 298,281.60, 447,432.64 and 101,264 is: 151,899.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,281.60 : 447,432.64 = 101,264 : x
  2. Step 2: Convert to fraction form
    298,281.60/447,432.64 = 101,264/x
  3. Step 3: Cross multiply
    298,281.60x = 447,432.64 × 101,264
  4. Step 4: Simplify right side
    298,281.60x = 45,308,818,856.96
  5. Step 5: Solve for x
    x = 45,308,818,856.96/298,281.60
  6. Step 6: Final answer
    x = 151,899.48

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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.