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Finding the Fourth Proportional to 427,830.53, 590,413.13 and 234,235

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Solution

The fourth proportional to 427,830.53, 590,413.13 and 234,235 is: 323,248.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,830.53 : 590,413.13 = 234,235 : x
  2. Step 2: Convert to fraction form
    427,830.53/590,413.13 = 234,235/x
  3. Step 3: Cross multiply
    427,830.53x = 590,413.13 × 234,235
  4. Step 4: Simplify right side
    427,830.53x = 138,295,419,505.55
  5. Step 5: Solve for x
    x = 138,295,419,505.55/427,830.53
  6. Step 6: Final answer
    x = 323,248.13

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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.