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Finding the Fourth Proportional to 298,454.64, 447,699.49 and 85,206.16

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Solution

The fourth proportional to 298,454.64, 447,699.49 and 85,206.16 is: 127,814.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,454.64 : 447,699.49 = 85,206.16 : x
  2. Step 2: Convert to fraction form
    298,454.64/447,699.49 = 85,206.16/x
  3. Step 3: Cross multiply
    298,454.64x = 447,699.49 × 85,206.16
  4. Step 4: Simplify right side
    298,454.64x = 38,146,754,723.47
  5. Step 5: Solve for x
    x = 38,146,754,723.47/298,454.64
  6. Step 6: Final answer
    x = 127,814.25

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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.