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Finding the Fourth Proportional to 472,780, 652,437.98 and 257,924.60

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Solution

The fourth proportional to 472,780, 652,437.98 and 257,924.60 is: 355,936.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,780 : 652,437.98 = 257,924.60 : x
  2. Step 2: Convert to fraction form
    472,780/652,437.98 = 257,924.60/x
  3. Step 3: Cross multiply
    472,780x = 652,437.98 × 257,924.60
  4. Step 4: Simplify right side
    472,780x = 168,279,805,016.31
  5. Step 5: Solve for x
    x = 168,279,805,016.31/472,780
  6. Step 6: Final answer
    x = 355,936.81

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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.