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Finding the Fourth Proportional to 280,294.95, 420,192.45 and 102,760.59

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Solution

The fourth proportional to 280,294.95, 420,192.45 and 102,760.59 is: 154,049.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,294.95 : 420,192.45 = 102,760.59 : x
  2. Step 2: Convert to fraction form
    280,294.95/420,192.45 = 102,760.59/x
  3. Step 3: Cross multiply
    280,294.95x = 420,192.45 × 102,760.59
  4. Step 4: Simplify right side
    280,294.95x = 43,179,224,075.55
  5. Step 5: Solve for x
    x = 43,179,224,075.55/280,294.95
  6. Step 6: Final answer
    x = 154,049.24

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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.