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Finding the Fourth Proportional to 398,417.20, 597,625.80 and 188,465.20

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Solution

The fourth proportional to 398,417.20, 597,625.80 and 188,465.20 is: 282,697.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,417.20 : 597,625.80 = 188,465.20 : x
  2. Step 2: Convert to fraction form
    398,417.20/597,625.80 = 188,465.20/x
  3. Step 3: Cross multiply
    398,417.20x = 597,625.80 × 188,465.20
  4. Step 4: Simplify right side
    398,417.20x = 112,631,665,922.16
  5. Step 5: Solve for x
    x = 112,631,665,922.16/398,417.20
  6. Step 6: Final answer
    x = 282,697.80

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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.