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Finding the Fourth Proportional to 398,830.80, 598,071.06 and 149,337.84

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Solution

The fourth proportional to 398,830.80, 598,071.06 and 149,337.84 is: 223,941.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,830.80 : 598,071.06 = 149,337.84 : x
  2. Step 2: Convert to fraction form
    398,830.80/598,071.06 = 149,337.84/x
  3. Step 3: Cross multiply
    398,830.80x = 598,071.06 × 149,337.84
  4. Step 4: Simplify right side
    398,830.80x = 89,314,640,266.91
  5. Step 5: Solve for x
    x = 89,314,640,266.91/398,830.80
  6. Step 6: Final answer
    x = 223,941.18

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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.