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Finding the Fourth Proportional to 482,534.90, 665,929.71 and 278,594.41

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Solution

The fourth proportional to 482,534.90, 665,929.71 and 278,594.41 is: 384,478.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,534.90 : 665,929.71 = 278,594.41 : x
  2. Step 2: Convert to fraction form
    482,534.90/665,929.71 = 278,594.41/x
  3. Step 3: Cross multiply
    482,534.90x = 665,929.71 × 278,594.41
  4. Step 4: Simplify right side
    482,534.90x = 185,524,296,311.52
  5. Step 5: Solve for x
    x = 185,524,296,311.52/482,534.90
  6. Step 6: Final answer
    x = 384,478.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.