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Finding the Fourth Proportional to 463,392, 640,005.84 and 312,226.56

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Solution

The fourth proportional to 463,392, 640,005.84 and 312,226.56 is: 431,226.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,392 : 640,005.84 = 312,226.56 : x
  2. Step 2: Convert to fraction form
    463,392/640,005.84 = 312,226.56/x
  3. Step 3: Cross multiply
    463,392x = 640,005.84 × 312,226.56
  4. Step 4: Simplify right side
    463,392x = 199,826,821,803.11
  5. Step 5: Solve for x
    x = 199,826,821,803.11/463,392
  6. Step 6: Final answer
    x = 431,226.31

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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.