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Finding the Fourth Proportional to 604,650.42, 906,373.80 and 288,738

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Solution

The fourth proportional to 604,650.42, 906,373.80 and 288,738 is: 432,819.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,650.42 : 906,373.80 = 288,738 : x
  2. Step 2: Convert to fraction form
    604,650.42/906,373.80 = 288,738/x
  3. Step 3: Cross multiply
    604,650.42x = 906,373.80 × 288,738
  4. Step 4: Simplify right side
    604,650.42x = 261,704,558,264.40
  5. Step 5: Solve for x
    x = 261,704,558,264.40/604,650.42
  6. Step 6: Final answer
    x = 432,819.61

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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.