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Finding the Fourth Proportional to 312,646.59, 431,460.33 and 191,854.62

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Solution

The fourth proportional to 312,646.59, 431,460.33 and 191,854.62 is: 264,764.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,646.59 : 431,460.33 = 191,854.62 : x
  2. Step 2: Convert to fraction form
    312,646.59/431,460.33 = 191,854.62/x
  3. Step 3: Cross multiply
    312,646.59x = 431,460.33 × 191,854.62
  4. Step 4: Simplify right side
    312,646.59x = 82,777,657,657.22
  5. Step 5: Solve for x
    x = 82,777,657,657.22/312,646.59
  6. Step 6: Final answer
    x = 264,764.31

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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.