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Finding the Fourth Proportional to 291,601.75, 402,410.42 and 157,465.75

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Solution

The fourth proportional to 291,601.75, 402,410.42 and 157,465.75 is: 217,302.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,601.75 : 402,410.42 = 157,465.75 : x
  2. Step 2: Convert to fraction form
    291,601.75/402,410.42 = 157,465.75/x
  3. Step 3: Cross multiply
    291,601.75x = 402,410.42 × 157,465.75
  4. Step 4: Simplify right side
    291,601.75x = 63,365,858,593.12
  5. Step 5: Solve for x
    x = 63,365,858,593.12/291,601.75
  6. Step 6: Final answer
    x = 217,302.74

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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.