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Finding the Fourth Proportional to 291,650.30, 402,477.33 and 157,514.30

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Solution

The fourth proportional to 291,650.30, 402,477.33 and 157,514.30 is: 217,369.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,650.30 : 402,477.33 = 157,514.30 : x
  2. Step 2: Convert to fraction form
    291,650.30/402,477.33 = 157,514.30/x
  3. Step 3: Cross multiply
    291,650.30x = 402,477.33 × 157,514.30
  4. Step 4: Simplify right side
    291,650.30x = 63,395,934,900.82
  5. Step 5: Solve for x
    x = 63,395,934,900.82/291,650.30
  6. Step 6: Final answer
    x = 217,369.69

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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.