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Finding the Fourth Proportional to 284,294.48, 392,327.20 and 155,233.20

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Solution

The fourth proportional to 284,294.48, 392,327.20 and 155,233.20 is: 214,222.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,294.48 : 392,327.20 = 155,233.20 : x
  2. Step 2: Convert to fraction form
    284,294.48/392,327.20 = 155,233.20/x
  3. Step 3: Cross multiply
    284,294.48x = 392,327.20 × 155,233.20
  4. Step 4: Simplify right side
    284,294.48x = 60,902,206,703.04
  5. Step 5: Solve for x
    x = 60,902,206,703.04/284,294.48
  6. Step 6: Final answer
    x = 214,222.26

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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.