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Finding the Fourth Proportional to 298,335.90, 447,459.42 and 98,657.34

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Solution

The fourth proportional to 298,335.90, 447,459.42 and 98,657.34 is: 147,971.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,335.90 : 447,459.42 = 98,657.34 : x
  2. Step 2: Convert to fraction form
    298,335.90/447,459.42 = 98,657.34/x
  3. Step 3: Cross multiply
    298,335.90x = 447,459.42 × 98,657.34
  4. Step 4: Simplify right side
    298,335.90x = 44,145,156,135.14
  5. Step 5: Solve for x
    x = 44,145,156,135.14/298,335.90
  6. Step 6: Final answer
    x = 147,971.32

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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.