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Finding the Fourth Proportional to 284,960, 393,210.78 and 157,618.28

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Solution

The fourth proportional to 284,960, 393,210.78 and 157,618.28 is: 217,494.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,960 : 393,210.78 = 157,618.28 : x
  2. Step 2: Convert to fraction form
    284,960/393,210.78 = 157,618.28/x
  3. Step 3: Cross multiply
    284,960x = 393,210.78 × 157,618.28
  4. Step 4: Simplify right side
    284,960x = 61,977,206,821.06
  5. Step 5: Solve for x
    x = 61,977,206,821.06/284,960
  6. Step 6: Final answer
    x = 217,494.41

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1.5x scale

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.