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Finding the Fourth Proportional to 291,634.24, 402,455.16 and 157,498.24

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Solution

The fourth proportional to 291,634.24, 402,455.16 and 157,498.24 is: 217,347.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,634.24 : 402,455.16 = 157,498.24 : x
  2. Step 2: Convert to fraction form
    291,634.24/402,455.16 = 157,498.24/x
  3. Step 3: Cross multiply
    291,634.24x = 402,455.16 × 157,498.24
  4. Step 4: Simplify right side
    291,634.24x = 63,385,979,378.92
  5. Step 5: Solve for x
    x = 63,385,979,378.92/291,634.24
  6. Step 6: Final answer
    x = 217,347.52

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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.