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Finding the Fourth Proportional to 254,920.45, 382,355.76 and 77,429

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Solution

The fourth proportional to 254,920.45, 382,355.76 and 77,429 is: 116,135.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,920.45 : 382,355.76 = 77,429 : x
  2. Step 2: Convert to fraction form
    254,920.45/382,355.76 = 77,429/x
  3. Step 3: Cross multiply
    254,920.45x = 382,355.76 × 77,429
  4. Step 4: Simplify right side
    254,920.45x = 29,605,424,141.04
  5. Step 5: Solve for x
    x = 29,605,424,141.04/254,920.45
  6. Step 6: Final answer
    x = 116,135.93

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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.