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Finding the Fourth Proportional to 338,763.84, 508,145.76 and 89,448

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Solution

The fourth proportional to 338,763.84, 508,145.76 and 89,448 is: 134,172

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,763.84 : 508,145.76 = 89,448 : x
  2. Step 2: Convert to fraction form
    338,763.84/508,145.76 = 89,448/x
  3. Step 3: Cross multiply
    338,763.84x = 508,145.76 × 89,448
  4. Step 4: Simplify right side
    338,763.84x = 45,452,621,940.48
  5. Step 5: Solve for x
    x = 45,452,621,940.48/338,763.84
  6. Step 6: Final answer
    x = 134,172

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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.