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Finding the Fourth Proportional to 472,780.36, 708,963.02 and 177,085

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Solution

The fourth proportional to 472,780.36, 708,963.02 and 177,085 is: 265,549.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,780.36 : 708,963.02 = 177,085 : x
  2. Step 2: Convert to fraction form
    472,780.36/708,963.02 = 177,085/x
  3. Step 3: Cross multiply
    472,780.36x = 708,963.02 × 177,085
  4. Step 4: Simplify right side
    472,780.36x = 125,546,716,396.70
  5. Step 5: Solve for x
    x = 125,546,716,396.70/472,780.36
  6. Step 6: Final answer
    x = 265,549.77

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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.