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Finding the Fourth Proportional to 257,524.80, 387,208.80 and 216,974.40

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Solution

The fourth proportional to 257,524.80, 387,208.80 and 216,974.40 is: 326,238.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,524.80 : 387,208.80 = 216,974.40 : x
  2. Step 2: Convert to fraction form
    257,524.80/387,208.80 = 216,974.40/x
  3. Step 3: Cross multiply
    257,524.80x = 387,208.80 × 216,974.40
  4. Step 4: Simplify right side
    257,524.80x = 84,014,397,054.72
  5. Step 5: Solve for x
    x = 84,014,397,054.72/257,524.80
  6. Step 6: Final answer
    x = 326,238.08

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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.