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Finding the Fourth Proportional to 312,830, 431,227.68 and 191,746.88

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Solution

The fourth proportional to 312,830, 431,227.68 and 191,746.88 is: 264,317.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,830 : 431,227.68 = 191,746.88 : x
  2. Step 2: Convert to fraction form
    312,830/431,227.68 = 191,746.88/x
  3. Step 3: Cross multiply
    312,830x = 431,227.68 × 191,746.88
  4. Step 4: Simplify right side
    312,830x = 82,686,562,209.64
  5. Step 5: Solve for x
    x = 82,686,562,209.64/312,830
  6. Step 6: Final answer
    x = 264,317.88

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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.