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Finding the Fourth Proportional to 312,151.92, 431,210.28 and 248,408.16

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Solution

The fourth proportional to 312,151.92, 431,210.28 and 248,408.16 is: 343,153.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,151.92 : 431,210.28 = 248,408.16 : x
  2. Step 2: Convert to fraction form
    312,151.92/431,210.28 = 248,408.16/x
  3. Step 3: Cross multiply
    312,151.92x = 431,210.28 × 248,408.16
  4. Step 4: Simplify right side
    312,151.92x = 107,116,152,227.89
  5. Step 5: Solve for x
    x = 107,116,152,227.89/312,151.92
  6. Step 6: Final answer
    x = 343,153.91

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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.