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Finding the Fourth Proportional to 303,175.20, 454,762.80 and 103,429.20

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Solution

The fourth proportional to 303,175.20, 454,762.80 and 103,429.20 is: 155,143.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,175.20 : 454,762.80 = 103,429.20 : x
  2. Step 2: Convert to fraction form
    303,175.20/454,762.80 = 103,429.20/x
  3. Step 3: Cross multiply
    303,175.20x = 454,762.80 × 103,429.20
  4. Step 4: Simplify right side
    303,175.20x = 47,035,752,593.76
  5. Step 5: Solve for x
    x = 47,035,752,593.76/303,175.20
  6. Step 6: Final answer
    x = 155,143.80

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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.