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Finding the Fourth Proportional to 398,860.63, 597,955.35 and 185,520.13

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Solution

The fourth proportional to 398,860.63, 597,955.35 and 185,520.13 is: 278,124.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,860.63 : 597,955.35 = 185,520.13 : x
  2. Step 2: Convert to fraction form
    398,860.63/597,955.35 = 185,520.13/x
  3. Step 3: Cross multiply
    398,860.63x = 597,955.35 × 185,520.13
  4. Step 4: Simplify right side
    398,860.63x = 110,932,754,266.20
  5. Step 5: Solve for x
    x = 110,932,754,266.20/398,860.63
  6. Step 6: Final answer
    x = 278,124.10

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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.