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Finding the Fourth Proportional to 399,106.80, 598,659.48 and 162,396.72

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Solution

The fourth proportional to 399,106.80, 598,659.48 and 162,396.72 is: 243,594.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,106.80 : 598,659.48 = 162,396.72 : x
  2. Step 2: Convert to fraction form
    399,106.80/598,659.48 = 162,396.72/x
  3. Step 3: Cross multiply
    399,106.80x = 598,659.48 × 162,396.72
  4. Step 4: Simplify right side
    399,106.80x = 97,220,335,948.91
  5. Step 5: Solve for x
    x = 97,220,335,948.91/399,106.80
  6. Step 6: Final answer
    x = 243,594.79

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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.