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Finding the Fourth Proportional to 298,459.38, 447,706.62 and 85,210.92

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Solution

The fourth proportional to 298,459.38, 447,706.62 and 85,210.92 is: 127,821.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,459.38 : 447,706.62 = 85,210.92 : x
  2. Step 2: Convert to fraction form
    298,459.38/447,706.62 = 85,210.92/x
  3. Step 3: Cross multiply
    298,459.38x = 447,706.62 × 85,210.92
  4. Step 4: Simplify right side
    298,459.38x = 38,149,492,980.29
  5. Step 5: Solve for x
    x = 38,149,492,980.29/298,459.38
  6. Step 6: Final answer
    x = 127,821.39

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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.