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Finding the Fourth Proportional to 431,278.40, 647,695.20 and 417,281.60

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Solution

The fourth proportional to 431,278.40, 647,695.20 and 417,281.60 is: 626,674.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,278.40 : 647,695.20 = 417,281.60 : x
  2. Step 2: Convert to fraction form
    431,278.40/647,695.20 = 417,281.60/x
  3. Step 3: Cross multiply
    431,278.40x = 647,695.20 × 417,281.60
  4. Step 4: Simplify right side
    431,278.40x = 270,271,289,368.32
  5. Step 5: Solve for x
    x = 270,271,289,368.32/431,278.40
  6. Step 6: Final answer
    x = 626,674.76

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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.