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Finding the Fourth Proportional to 312,531.04, 431,009.31 and 205,060.24

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Solution

The fourth proportional to 312,531.04, 431,009.31 and 205,060.24 is: 282,797.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,531.04 : 431,009.31 = 205,060.24 : x
  2. Step 2: Convert to fraction form
    312,531.04/431,009.31 = 205,060.24/x
  3. Step 3: Cross multiply
    312,531.04x = 431,009.31 × 205,060.24
  4. Step 4: Simplify right side
    312,531.04x = 88,382,872,550.83
  5. Step 5: Solve for x
    x = 88,382,872,550.83/312,531.04
  6. Step 6: Final answer
    x = 282,797.10

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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.