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Finding the Fourth Proportional to 284,712.12, 427,062.76 and 85,033.08

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Solution

The fourth proportional to 284,712.12, 427,062.76 and 85,033.08 is: 127,548.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,712.12 : 427,062.76 = 85,033.08 : x
  2. Step 2: Convert to fraction form
    284,712.12/427,062.76 = 85,033.08/x
  3. Step 3: Cross multiply
    284,712.12x = 427,062.76 × 85,033.08
  4. Step 4: Simplify right side
    284,712.12x = 36,314,461,836.10
  5. Step 5: Solve for x
    x = 36,314,461,836.10/284,712.12
  6. Step 6: Final answer
    x = 127,548.00

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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.