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Finding the Fourth Proportional to 312,555.47, 431,327.67 and 169,315.16

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Solution

The fourth proportional to 312,555.47, 431,327.67 and 169,315.16 is: 233,655.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,555.47 : 431,327.67 = 169,315.16 : x
  2. Step 2: Convert to fraction form
    312,555.47/431,327.67 = 169,315.16/x
  3. Step 3: Cross multiply
    312,555.47x = 431,327.67 × 169,315.16
  4. Step 4: Simplify right side
    312,555.47x = 73,030,313,458.48
  5. Step 5: Solve for x
    x = 73,030,313,458.48/312,555.47
  6. Step 6: Final answer
    x = 233,655.53

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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.