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Finding the Fourth Proportional to 398,199, 597,385.88 and 292,698.12

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Solution

The fourth proportional to 398,199, 597,385.88 and 292,698.12 is: 439,111.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,199 : 597,385.88 = 292,698.12 : x
  2. Step 2: Convert to fraction form
    398,199/597,385.88 = 292,698.12/x
  3. Step 3: Cross multiply
    398,199x = 597,385.88 × 292,698.12
  4. Step 4: Simplify right side
    398,199x = 174,853,723,990.55
  5. Step 5: Solve for x
    x = 174,853,723,990.55/398,199
  6. Step 6: Final answer
    x = 439,111.41

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1.5x scale

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.