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Finding the Fourth Proportional to 431,698.44, 647,602.02 and 147,442.80

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Solution

The fourth proportional to 431,698.44, 647,602.02 and 147,442.80 is: 221,182.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,698.44 : 647,602.02 = 147,442.80 : x
  2. Step 2: Convert to fraction form
    431,698.44/647,602.02 = 147,442.80/x
  3. Step 3: Cross multiply
    431,698.44x = 647,602.02 × 147,442.80
  4. Step 4: Simplify right side
    431,698.44x = 95,484,255,114.46
  5. Step 5: Solve for x
    x = 95,484,255,114.46/431,698.44
  6. Step 6: Final answer
    x = 221,182.77

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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.