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Finding the Fourth Proportional to 258,309.16, 387,403.26 and 100,473.64

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Solution

The fourth proportional to 258,309.16, 387,403.26 and 100,473.64 is: 150,686.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,309.16 : 387,403.26 = 100,473.64 : x
  2. Step 2: Convert to fraction form
    258,309.16/387,403.26 = 100,473.64/x
  3. Step 3: Cross multiply
    258,309.16x = 387,403.26 × 100,473.64
  4. Step 4: Simplify right side
    258,309.16x = 38,923,815,680.07
  5. Step 5: Solve for x
    x = 38,923,815,680.07/258,309.16
  6. Step 6: Final answer
    x = 150,686.94

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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.