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Finding the Fourth Proportional to 353,053.84, 529,414.32 and 128,255.76

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Solution

The fourth proportional to 353,053.84, 529,414.32 and 128,255.76 is: 192,323.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,053.84 : 529,414.32 = 128,255.76 : x
  2. Step 2: Convert to fraction form
    353,053.84/529,414.32 = 128,255.76/x
  3. Step 3: Cross multiply
    353,053.84x = 529,414.32 × 128,255.76
  4. Step 4: Simplify right side
    353,053.84x = 67,900,435,966.48
  5. Step 5: Solve for x
    x = 67,900,435,966.48/353,053.84
  6. Step 6: Final answer
    x = 192,323.18

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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.