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Finding the Fourth Proportional to 338,564.60, 508,013.12 and 136,152.52

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Solution

The fourth proportional to 338,564.60, 508,013.12 and 136,152.52 is: 204,295.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,564.60 : 508,013.12 = 136,152.52 : x
  2. Step 2: Convert to fraction form
    338,564.60/508,013.12 = 136,152.52/x
  3. Step 3: Cross multiply
    338,564.60x = 508,013.12 × 136,152.52
  4. Step 4: Simplify right side
    338,564.60x = 69,167,265,551.41
  5. Step 5: Solve for x
    x = 69,167,265,551.41/338,564.60
  6. Step 6: Final answer
    x = 204,295.63

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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.