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Finding the Fourth Proportional to 312,152.92, 431,211.66 and 248,409.16

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Solution

The fourth proportional to 312,152.92, 431,211.66 and 248,409.16 is: 343,155.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,152.92 : 431,211.66 = 248,409.16 : x
  2. Step 2: Convert to fraction form
    312,152.92/431,211.66 = 248,409.16/x
  3. Step 3: Cross multiply
    312,152.92x = 431,211.66 × 248,409.16
  4. Step 4: Simplify right side
    312,152.92x = 107,116,926,242.81
  5. Step 5: Solve for x
    x = 107,116,926,242.81/312,152.92
  6. Step 6: Final answer
    x = 343,155.29

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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.