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Finding the Fourth Proportional to 472,392.32, 708,882.35 and 191,909.57

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Solution

The fourth proportional to 472,392.32, 708,882.35 and 191,909.57 is: 287,983.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,392.32 : 708,882.35 = 191,909.57 : x
  2. Step 2: Convert to fraction form
    472,392.32/708,882.35 = 191,909.57/x
  3. Step 3: Cross multiply
    472,392.32x = 708,882.35 × 191,909.57
  4. Step 4: Simplify right side
    472,392.32x = 136,041,306,969.09
  5. Step 5: Solve for x
    x = 136,041,306,969.09/472,392.32
  6. Step 6: Final answer
    x = 287,983.74

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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.