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Finding the Fourth Proportional to 492,301.18, 738,451.77 and 155,342.80

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Solution

The fourth proportional to 492,301.18, 738,451.77 and 155,342.80 is: 233,014.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,301.18 : 738,451.77 = 155,342.80 : x
  2. Step 2: Convert to fraction form
    492,301.18/738,451.77 = 155,342.80/x
  3. Step 3: Cross multiply
    492,301.18x = 738,451.77 × 155,342.80
  4. Step 4: Simplify right side
    492,301.18x = 114,713,165,616.76
  5. Step 5: Solve for x
    x = 114,713,165,616.76/492,301.18
  6. Step 6: Final answer
    x = 233,014.20

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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.