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Finding the Fourth Proportional to 312,824.70, 431,700.30 and 169,587

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Solution

The fourth proportional to 312,824.70, 431,700.30 and 169,587 is: 234,031.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,824.70 : 431,700.30 = 169,587 : x
  2. Step 2: Convert to fraction form
    312,824.70/431,700.30 = 169,587/x
  3. Step 3: Cross multiply
    312,824.70x = 431,700.30 × 169,587
  4. Step 4: Simplify right side
    312,824.70x = 73,210,758,776.10
  5. Step 5: Solve for x
    x = 73,210,758,776.10/312,824.70
  6. Step 6: Final answer
    x = 234,031.26

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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.