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Finding the Fourth Proportional to 284,791.06, 392,995.96 and 157,458.25

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Solution

The fourth proportional to 284,791.06, 392,995.96 and 157,458.25 is: 217,283.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,791.06 : 392,995.96 = 157,458.25 : x
  2. Step 2: Convert to fraction form
    284,791.06/392,995.96 = 157,458.25/x
  3. Step 3: Cross multiply
    284,791.06x = 392,995.96 × 157,458.25
  4. Step 4: Simplify right side
    284,791.06x = 61,880,456,118.67
  5. Step 5: Solve for x
    x = 61,880,456,118.67/284,791.06
  6. Step 6: Final answer
    x = 217,283.70

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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.