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Finding the Fourth Proportional to 472,423.31, 708,928.84 and 191,940.56

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Solution

The fourth proportional to 472,423.31, 708,928.84 and 191,940.56 is: 288,030.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,423.31 : 708,928.84 = 191,940.56 : x
  2. Step 2: Convert to fraction form
    472,423.31/708,928.84 = 191,940.56/x
  3. Step 3: Cross multiply
    472,423.31x = 708,928.84 × 191,940.56
  4. Step 4: Simplify right side
    472,423.31x = 136,072,197,903.52
  5. Step 5: Solve for x
    x = 136,072,197,903.52/472,423.31
  6. Step 6: Final answer
    x = 288,030.24

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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.