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Finding the Fourth Proportional to 288,338.81, 432,600.74 and 138,589.95

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Solution

The fourth proportional to 288,338.81, 432,600.74 and 138,589.95 is: 207,929.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,338.81 : 432,600.74 = 138,589.95 : x
  2. Step 2: Convert to fraction form
    288,338.81/432,600.74 = 138,589.95/x
  3. Step 3: Cross multiply
    288,338.81x = 432,600.74 × 138,589.95
  4. Step 4: Simplify right side
    288,338.81x = 59,954,114,233.61
  5. Step 5: Solve for x
    x = 59,954,114,233.61/288,338.81
  6. Step 6: Final answer
    x = 207,929.40

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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.