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Finding the Fourth Proportional to 291,629, 402,448.10 and 157,493

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Solution

The fourth proportional to 291,629, 402,448.10 and 157,493 is: 217,340.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,629 : 402,448.10 = 157,493 : x
  2. Step 2: Convert to fraction form
    291,629/402,448.10 = 157,493/x
  3. Step 3: Cross multiply
    291,629x = 402,448.10 × 157,493
  4. Step 4: Simplify right side
    291,629x = 63,382,758,613.30
  5. Step 5: Solve for x
    x = 63,382,758,613.30/291,629
  6. Step 6: Final answer
    x = 217,340.38

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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.