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Finding the Fourth Proportional to 431,798.40, 647,114.40 and 381,643.20

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Solution

The fourth proportional to 431,798.40, 647,114.40 and 381,643.20 is: 571,949.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,798.40 : 647,114.40 = 381,643.20 : x
  2. Step 2: Convert to fraction form
    431,798.40/647,114.40 = 381,643.20/x
  3. Step 3: Cross multiply
    431,798.40x = 647,114.40 × 381,643.20
  4. Step 4: Simplify right side
    431,798.40x = 246,966,810,382.08
  5. Step 5: Solve for x
    x = 246,966,810,382.08/431,798.40
  6. Step 6: Final answer
    x = 571,949.34

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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.