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Finding the Fourth Proportional to 472,429.52, 708,939.52 and 191,946.78

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Solution

The fourth proportional to 472,429.52, 708,939.52 and 191,946.78 is: 288,040.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,429.52 : 708,939.52 = 191,946.78 : x
  2. Step 2: Convert to fraction form
    472,429.52/708,939.52 = 191,946.78/x
  3. Step 3: Cross multiply
    472,429.52x = 708,939.52 × 191,946.78
  4. Step 4: Simplify right side
    472,429.52x = 136,078,658,078.75
  5. Step 5: Solve for x
    x = 136,078,658,078.75/472,429.52
  6. Step 6: Final answer
    x = 288,040.13

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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.