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Finding the Fourth Proportional to 228,423.24, 315,224.46 and 127,821.24

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Solution

The fourth proportional to 228,423.24, 315,224.46 and 127,821.24 is: 176,393.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,423.24 : 315,224.46 = 127,821.24 : x
  2. Step 2: Convert to fraction form
    228,423.24/315,224.46 = 127,821.24/x
  3. Step 3: Cross multiply
    228,423.24x = 315,224.46 × 127,821.24
  4. Step 4: Simplify right side
    228,423.24x = 40,292,381,355.53
  5. Step 5: Solve for x
    x = 40,292,381,355.53/228,423.24
  6. Step 6: Final answer
    x = 176,393.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.