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Finding the Fourth Proportional to 403,713.98, 605,695.54 and 151,020

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Solution

The fourth proportional to 403,713.98, 605,695.54 and 151,020 is: 226,576.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,713.98 : 605,695.54 = 151,020 : x
  2. Step 2: Convert to fraction form
    403,713.98/605,695.54 = 151,020/x
  3. Step 3: Cross multiply
    403,713.98x = 605,695.54 × 151,020
  4. Step 4: Simplify right side
    403,713.98x = 91,472,140,450.80
  5. Step 5: Solve for x
    x = 91,472,140,450.80/403,713.98
  6. Step 6: Final answer
    x = 226,576.60

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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.