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Finding the Fourth Proportional to 258,090.32, 356,193.32 and 150,686.80

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Solution

The fourth proportional to 258,090.32, 356,193.32 and 150,686.80 is: 207,964.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,090.32 : 356,193.32 = 150,686.80 : x
  2. Step 2: Convert to fraction form
    258,090.32/356,193.32 = 150,686.80/x
  3. Step 3: Cross multiply
    258,090.32x = 356,193.32 × 150,686.80
  4. Step 4: Simplify right side
    258,090.32x = 53,673,631,572.18
  5. Step 5: Solve for x
    x = 53,673,631,572.18/258,090.32
  6. Step 6: Final answer
    x = 207,964.53

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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.