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Finding the Fourth Proportional to 298,070.15, 447,010.38 and 98,353.31

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Solution

The fourth proportional to 298,070.15, 447,010.38 and 98,353.31 is: 147,498.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,070.15 : 447,010.38 = 98,353.31 : x
  2. Step 2: Convert to fraction form
    298,070.15/447,010.38 = 98,353.31/x
  3. Step 3: Cross multiply
    298,070.15x = 447,010.38 × 98,353.31
  4. Step 4: Simplify right side
    298,070.15x = 43,964,948,242.31
  5. Step 5: Solve for x
    x = 43,964,948,242.31/298,070.15
  6. Step 6: Final answer
    x = 147,498.66

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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.