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Finding the Fourth Proportional to 284,866.88, 427,267.68 and 74,525.12

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Solution

The fourth proportional to 284,866.88, 427,267.68 and 74,525.12 is: 111,779.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,866.88 : 427,267.68 = 74,525.12 : x
  2. Step 2: Convert to fraction form
    284,866.88/427,267.68 = 74,525.12/x
  3. Step 3: Cross multiply
    284,866.88x = 427,267.68 × 74,525.12
  4. Step 4: Simplify right side
    284,866.88x = 31,842,175,124.12
  5. Step 5: Solve for x
    x = 31,842,175,124.12/284,866.88
  6. Step 6: Final answer
    x = 111,779.14

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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.