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Finding the Fourth Proportional to 472,190.78, 708,495.23 and 247,497.80

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Solution

The fourth proportional to 472,190.78, 708,495.23 and 247,497.80 is: 371,356.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,190.78 : 708,495.23 = 247,497.80 : x
  2. Step 2: Convert to fraction form
    472,190.78/708,495.23 = 247,497.80/x
  3. Step 3: Cross multiply
    472,190.78x = 708,495.23 × 247,497.80
  4. Step 4: Simplify right side
    472,190.78x = 175,351,007,811.76
  5. Step 5: Solve for x
    x = 175,351,007,811.76/472,190.78
  6. Step 6: Final answer
    x = 371,356.27

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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.