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Finding the Fourth Proportional to 286,711.20, 430,066.80 and 235,972.80

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Solution

The fourth proportional to 286,711.20, 430,066.80 and 235,972.80 is: 353,959.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,711.20 : 430,066.80 = 235,972.80 : x
  2. Step 2: Convert to fraction form
    286,711.20/430,066.80 = 235,972.80/x
  3. Step 3: Cross multiply
    286,711.20x = 430,066.80 × 235,972.80
  4. Step 4: Simplify right side
    286,711.20x = 101,484,066,983.04
  5. Step 5: Solve for x
    x = 101,484,066,983.04/286,711.20
  6. Step 6: Final answer
    x = 353,959.20

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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.