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Finding the Fourth Proportional to 289,435.78, 434,420.21 and 147,382.61

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Solution

The fourth proportional to 289,435.78, 434,420.21 and 147,382.61 is: 221,209.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,435.78 : 434,420.21 = 147,382.61 : x
  2. Step 2: Convert to fraction form
    289,435.78/434,420.21 = 147,382.61/x
  3. Step 3: Cross multiply
    289,435.78x = 434,420.21 × 147,382.61
  4. Step 4: Simplify right side
    289,435.78x = 64,025,986,248.32
  5. Step 5: Solve for x
    x = 64,025,986,248.32/289,435.78
  6. Step 6: Final answer
    x = 221,209.64

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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.