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Finding the Fourth Proportional to 312,513.52, 431,264.88 and 189,965.30

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Solution

The fourth proportional to 312,513.52, 431,264.88 and 189,965.30 is: 262,149.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,513.52 : 431,264.88 = 189,965.30 : x
  2. Step 2: Convert to fraction form
    312,513.52/431,264.88 = 189,965.30/x
  3. Step 3: Cross multiply
    312,513.52x = 431,264.88 × 189,965.30
  4. Step 4: Simplify right side
    312,513.52x = 81,925,362,308.66
  5. Step 5: Solve for x
    x = 81,925,362,308.66/312,513.52
  6. Step 6: Final answer
    x = 262,149.82

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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.