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Finding the Fourth Proportional to 298,113.48, 447,184.59 and 98,429.43

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Solution

The fourth proportional to 298,113.48, 447,184.59 and 98,429.43 is: 147,648.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,113.48 : 447,184.59 = 98,429.43 : x
  2. Step 2: Convert to fraction form
    298,113.48/447,184.59 = 98,429.43/x
  3. Step 3: Cross multiply
    298,113.48x = 447,184.59 × 98,429.43
  4. Step 4: Simplify right side
    298,113.48x = 44,016,124,298.48
  5. Step 5: Solve for x
    x = 44,016,124,298.48/298,113.48
  6. Step 6: Final answer
    x = 147,648.89

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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.