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Finding the Fourth Proportional to 398,205.32, 597,314.05 and 145,537.16

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Solution

The fourth proportional to 398,205.32, 597,314.05 and 145,537.16 is: 218,307.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,205.32 : 597,314.05 = 145,537.16 : x
  2. Step 2: Convert to fraction form
    398,205.32/597,314.05 = 145,537.16/x
  3. Step 3: Cross multiply
    398,205.32x = 597,314.05 × 145,537.16
  4. Step 4: Simplify right side
    398,205.32x = 86,931,387,114.68
  5. Step 5: Solve for x
    x = 86,931,387,114.68/398,205.32
  6. Step 6: Final answer
    x = 218,307.95

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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.