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Finding the Fourth Proportional to 398,947.80, 598,421.70 and 149,597.40

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Solution

The fourth proportional to 398,947.80, 598,421.70 and 149,597.40 is: 224,396.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,947.80 : 598,421.70 = 149,597.40 : x
  2. Step 2: Convert to fraction form
    398,947.80/598,421.70 = 149,597.40/x
  3. Step 3: Cross multiply
    398,947.80x = 598,421.70 × 149,597.40
  4. Step 4: Simplify right side
    398,947.80x = 89,522,330,423.58
  5. Step 5: Solve for x
    x = 89,522,330,423.58/398,947.80
  6. Step 6: Final answer
    x = 224,396.10

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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.