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Finding the Fourth Proportional to 284,858.30, 427,287.45 and 178,570.10

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Solution

The fourth proportional to 284,858.30, 427,287.45 and 178,570.10 is: 267,855.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,858.30 : 427,287.45 = 178,570.10 : x
  2. Step 2: Convert to fraction form
    284,858.30/427,287.45 = 178,570.10/x
  3. Step 3: Cross multiply
    284,858.30x = 427,287.45 × 178,570.10
  4. Step 4: Simplify right side
    284,858.30x = 76,300,762,675.25
  5. Step 5: Solve for x
    x = 76,300,762,675.25/284,858.30
  6. Step 6: Final answer
    x = 267,855.15

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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.