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Finding the Fourth Proportional to 287,208.81, 431,010.09 and 100,220.31

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Solution

The fourth proportional to 287,208.81, 431,010.09 and 100,220.31 is: 150,399.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,208.81 : 431,010.09 = 100,220.31 : x
  2. Step 2: Convert to fraction form
    287,208.81/431,010.09 = 100,220.31/x
  3. Step 3: Cross multiply
    287,208.81x = 431,010.09 × 100,220.31
  4. Step 4: Simplify right side
    287,208.81x = 43,195,964,832.93
  5. Step 5: Solve for x
    x = 43,195,964,832.93/287,208.81
  6. Step 6: Final answer
    x = 150,399.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.