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Finding the Fourth Proportional to 268,775.16, 370,909.78 and 147,916.40

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Solution

The fourth proportional to 268,775.16, 370,909.78 and 147,916.40 is: 204,124.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,775.16 : 370,909.78 = 147,916.40 : x
  2. Step 2: Convert to fraction form
    268,775.16/370,909.78 = 147,916.40/x
  3. Step 3: Cross multiply
    268,775.16x = 370,909.78 × 147,916.40
  4. Step 4: Simplify right side
    268,775.16x = 54,863,639,382.39
  5. Step 5: Solve for x
    x = 54,863,639,382.39/268,775.16
  6. Step 6: Final answer
    x = 204,124.66

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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.