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Finding the Fourth Proportional to 286,797.43, 430,253.61 and 160,617.16

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Solution

The fourth proportional to 286,797.43, 430,253.61 and 160,617.16 is: 240,957.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,797.43 : 430,253.61 = 160,617.16 : x
  2. Step 2: Convert to fraction form
    286,797.43/430,253.61 = 160,617.16/x
  3. Step 3: Cross multiply
    286,797.43x = 430,253.61 × 160,617.16
  4. Step 4: Simplify right side
    286,797.43x = 69,106,112,917.95
  5. Step 5: Solve for x
    x = 69,106,112,917.95/286,797.43
  6. Step 6: Final answer
    x = 240,957.92

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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.