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Finding the Fourth Proportional to 431,709.42, 647,698.99 and 147,406.71

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Solution

The fourth proportional to 431,709.42, 647,698.99 and 147,406.71 is: 221,156.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,709.42 : 647,698.99 = 147,406.71 : x
  2. Step 2: Convert to fraction form
    431,709.42/647,698.99 = 147,406.71/x
  3. Step 3: Cross multiply
    431,709.42x = 647,698.99 × 147,406.71
  4. Step 4: Simplify right side
    431,709.42x = 95,475,174,388.83
  5. Step 5: Solve for x
    x = 95,475,174,388.83/431,709.42
  6. Step 6: Final answer
    x = 221,156.11

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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.