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Finding the Fourth Proportional to 284,841.90, 427,230.45 and 74,501.10

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Solution

The fourth proportional to 284,841.90, 427,230.45 and 74,501.10 is: 111,743.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,841.90 : 427,230.45 = 74,501.10 : x
  2. Step 2: Convert to fraction form
    284,841.90/427,230.45 = 74,501.10/x
  3. Step 3: Cross multiply
    284,841.90x = 427,230.45 × 74,501.10
  4. Step 4: Simplify right side
    284,841.90x = 31,829,138,478.50
  5. Step 5: Solve for x
    x = 31,829,138,478.50/284,841.90
  6. Step 6: Final answer
    x = 111,743.18

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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.