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Finding the Fourth Proportional to 312,541.31, 431,305.59 and 169,301.77

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Solution

The fourth proportional to 312,541.31, 431,305.59 and 169,301.77 is: 233,635.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,541.31 : 431,305.59 = 169,301.77 : x
  2. Step 2: Convert to fraction form
    312,541.31/431,305.59 = 169,301.77/x
  3. Step 3: Cross multiply
    312,541.31x = 431,305.59 × 169,301.77
  4. Step 4: Simplify right side
    312,541.31x = 73,020,799,797.89
  5. Step 5: Solve for x
    x = 73,020,799,797.89/312,541.31
  6. Step 6: Final answer
    x = 233,635.67

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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.