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Finding the Fourth Proportional to 298,407.51, 447,626.15 and 85,207.05

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Solution

The fourth proportional to 298,407.51, 447,626.15 and 85,207.05 is: 127,814.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,407.51 : 447,626.15 = 85,207.05 : x
  2. Step 2: Convert to fraction form
    298,407.51/447,626.15 = 85,207.05/x
  3. Step 3: Cross multiply
    298,407.51x = 447,626.15 × 85,207.05
  4. Step 4: Simplify right side
    298,407.51x = 38,140,903,318.32
  5. Step 5: Solve for x
    x = 38,140,903,318.32/298,407.51
  6. Step 6: Final answer
    x = 127,814.82

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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.