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Finding the Fourth Proportional to 284,130.72, 392,092.56 and 155,072.16

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Solution

The fourth proportional to 284,130.72, 392,092.56 and 155,072.16 is: 213,995.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,130.72 : 392,092.56 = 155,072.16 : x
  2. Step 2: Convert to fraction form
    284,130.72/392,092.56 = 155,072.16/x
  3. Step 3: Cross multiply
    284,130.72x = 392,092.56 × 155,072.16
  4. Step 4: Simplify right side
    284,130.72x = 60,802,640,199.13
  5. Step 5: Solve for x
    x = 60,802,640,199.13/284,130.72
  6. Step 6: Final answer
    x = 213,995.31

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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.