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Finding the Fourth Proportional to 431,376.30, 647,064.45 and 164,999.70

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Solution

The fourth proportional to 431,376.30, 647,064.45 and 164,999.70 is: 247,499.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,376.30 : 647,064.45 = 164,999.70 : x
  2. Step 2: Convert to fraction form
    431,376.30/647,064.45 = 164,999.70/x
  3. Step 3: Cross multiply
    431,376.30x = 647,064.45 × 164,999.70
  4. Step 4: Simplify right side
    431,376.30x = 106,765,440,130.67
  5. Step 5: Solve for x
    x = 106,765,440,130.67/431,376.30
  6. Step 6: Final answer
    x = 247,499.55

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1.5x scale

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.