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Finding the Fourth Proportional to 284,111.20, 425,875.20 and 165,721.60

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Solution

The fourth proportional to 284,111.20, 425,875.20 and 165,721.60 is: 248,412.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,111.20 : 425,875.20 = 165,721.60 : x
  2. Step 2: Convert to fraction form
    284,111.20/425,875.20 = 165,721.60/x
  3. Step 3: Cross multiply
    284,111.20x = 425,875.20 × 165,721.60
  4. Step 4: Simplify right side
    284,111.20x = 70,576,719,544.32
  5. Step 5: Solve for x
    x = 70,576,719,544.32/284,111.20
  6. Step 6: Final answer
    x = 248,412.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.