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Finding the Fourth Proportional to 321,413.78, 443,461.24 and 253,219.12

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Solution

The fourth proportional to 321,413.78, 443,461.24 and 253,219.12 is: 349,371.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,413.78 : 443,461.24 = 253,219.12 : x
  2. Step 2: Convert to fraction form
    321,413.78/443,461.24 = 253,219.12/x
  3. Step 3: Cross multiply
    321,413.78x = 443,461.24 × 253,219.12
  4. Step 4: Simplify right side
    321,413.78x = 112,292,864,154.78
  5. Step 5: Solve for x
    x = 112,292,864,154.78/321,413.78
  6. Step 6: Final answer
    x = 349,371.65

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1.5x scale

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.