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Finding the Fourth Proportional to 543,356.40, 815,030.55 and 164,276.40

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Solution

The fourth proportional to 543,356.40, 815,030.55 and 164,276.40 is: 246,413.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,356.40 : 815,030.55 = 164,276.40 : x
  2. Step 2: Convert to fraction form
    543,356.40/815,030.55 = 164,276.40/x
  3. Step 3: Cross multiply
    543,356.40x = 815,030.55 × 164,276.40
  4. Step 4: Simplify right side
    543,356.40x = 133,890,284,644.02
  5. Step 5: Solve for x
    x = 133,890,284,644.02/543,356.40
  6. Step 6: Final answer
    x = 246,413.38

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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.