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Finding the Fourth Proportional to 604,651.42, 906,375.30 and 288,739

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Solution

The fourth proportional to 604,651.42, 906,375.30 and 288,739 is: 432,821.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,651.42 : 906,375.30 = 288,739 : x
  2. Step 2: Convert to fraction form
    604,651.42/906,375.30 = 288,739/x
  3. Step 3: Cross multiply
    604,651.42x = 906,375.30 × 288,739
  4. Step 4: Simplify right side
    604,651.42x = 261,705,897,746.70
  5. Step 5: Solve for x
    x = 261,705,897,746.70/604,651.42
  6. Step 6: Final answer
    x = 432,821.11

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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.