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Finding the Fourth Proportional to 762,414.72, 1,143,184.48 and 288,798

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Solution

The fourth proportional to 762,414.72, 1,143,184.48 and 288,798 is: 433,031.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,414.72 : 1,143,184.48 = 288,798 : x
  2. Step 2: Convert to fraction form
    762,414.72/1,143,184.48 = 288,798/x
  3. Step 3: Cross multiply
    762,414.72x = 1,143,184.48 × 288,798
  4. Step 4: Simplify right side
    762,414.72x = 330,149,391,455.04
  5. Step 5: Solve for x
    x = 330,149,391,455.04/762,414.72
  6. Step 6: Final answer
    x = 433,031.24

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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.