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Finding the Fourth Proportional to 370,909.25, 511,882.25 and 207,582.12

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Solution

The fourth proportional to 370,909.25, 511,882.25 and 207,582.12 is: 286,478.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,909.25 : 511,882.25 = 207,582.12 : x
  2. Step 2: Convert to fraction form
    370,909.25/511,882.25 = 207,582.12/x
  3. Step 3: Cross multiply
    370,909.25x = 511,882.25 × 207,582.12
  4. Step 4: Simplify right side
    370,909.25x = 106,257,601,607.46
  5. Step 5: Solve for x
    x = 106,257,601,607.46/370,909.25
  6. Step 6: Final answer
    x = 286,478.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.