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Finding the Fourth Proportional to 291,605.75, 402,415.94 and 157,469.75

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Solution

The fourth proportional to 291,605.75, 402,415.94 and 157,469.75 is: 217,308.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,605.75 : 402,415.94 = 157,469.75 : x
  2. Step 2: Convert to fraction form
    291,605.75/402,415.94 = 157,469.75/x
  3. Step 3: Cross multiply
    291,605.75x = 402,415.94 × 157,469.75
  4. Step 4: Simplify right side
    291,605.75x = 63,368,337,467.82
  5. Step 5: Solve for x
    x = 63,368,337,467.82/291,605.75
  6. Step 6: Final answer
    x = 217,308.26

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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.