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Finding the Fourth Proportional to 312,359.06, 431,055.78 and 169,119.20

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Solution

The fourth proportional to 312,359.06, 431,055.78 and 169,119.20 is: 233,384.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,359.06 : 431,055.78 = 169,119.20 : x
  2. Step 2: Convert to fraction form
    312,359.06/431,055.78 = 169,119.20/x
  3. Step 3: Cross multiply
    312,359.06x = 431,055.78 × 169,119.20
  4. Step 4: Simplify right side
    312,359.06x = 72,899,808,668.98
  5. Step 5: Solve for x
    x = 72,899,808,668.98/312,359.06
  6. Step 6: Final answer
    x = 233,384.65

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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.