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Finding the Fourth Proportional to 312,346.32, 431,038.16 and 169,106.48

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Solution

The fourth proportional to 312,346.32, 431,038.16 and 169,106.48 is: 233,367.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,346.32 : 431,038.16 = 169,106.48 : x
  2. Step 2: Convert to fraction form
    312,346.32/431,038.16 = 169,106.48/x
  3. Step 3: Cross multiply
    312,346.32x = 431,038.16 × 169,106.48
  4. Step 4: Simplify right side
    312,346.32x = 72,891,345,983.28
  5. Step 5: Solve for x
    x = 72,891,345,983.28/312,346.32
  6. Step 6: Final answer
    x = 233,367.07

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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.