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Finding the Fourth Proportional to 474,356.80, 709,807.20 and 349,940.80

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Solution

The fourth proportional to 474,356.80, 709,807.20 and 349,940.80 is: 523,636.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,356.80 : 709,807.20 = 349,940.80 : x
  2. Step 2: Convert to fraction form
    474,356.80/709,807.20 = 349,940.80/x
  3. Step 3: Cross multiply
    474,356.80x = 709,807.20 × 349,940.80
  4. Step 4: Simplify right side
    474,356.80x = 248,390,499,413.76
  5. Step 5: Solve for x
    x = 248,390,499,413.76/474,356.80
  6. Step 6: Final answer
    x = 523,636.43

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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.