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Finding the Fourth Proportional to 398,708.55, 550,231.08 and 217,430.40

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Solution

The fourth proportional to 398,708.55, 550,231.08 and 217,430.40 is: 300,061.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,708.55 : 550,231.08 = 217,430.40 : x
  2. Step 2: Convert to fraction form
    398,708.55/550,231.08 = 217,430.40/x
  3. Step 3: Cross multiply
    398,708.55x = 550,231.08 × 217,430.40
  4. Step 4: Simplify right side
    398,708.55x = 119,636,961,065.68
  5. Step 5: Solve for x
    x = 119,636,961,065.68/398,708.55
  6. Step 6: Final answer
    x = 300,061.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.