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Finding the Fourth Proportional to 398,210.76, 597,372.30 and 148,869

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Solution

The fourth proportional to 398,210.76, 597,372.30 and 148,869 is: 223,324.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,210.76 : 597,372.30 = 148,869 : x
  2. Step 2: Convert to fraction form
    398,210.76/597,372.30 = 148,869/x
  3. Step 3: Cross multiply
    398,210.76x = 597,372.30 × 148,869
  4. Step 4: Simplify right side
    398,210.76x = 88,930,216,928.70
  5. Step 5: Solve for x
    x = 88,930,216,928.70/398,210.76
  6. Step 6: Final answer
    x = 223,324.50

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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.