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Finding the Fourth Proportional to 543,413.20, 815,155.80 and 144,048.40

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Solution

The fourth proportional to 543,413.20, 815,155.80 and 144,048.40 is: 216,082.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,413.20 : 815,155.80 = 144,048.40 : x
  2. Step 2: Convert to fraction form
    543,413.20/815,155.80 = 144,048.40/x
  3. Step 3: Cross multiply
    543,413.20x = 815,155.80 × 144,048.40
  4. Step 4: Simplify right side
    543,413.20x = 117,421,888,740.72
  5. Step 5: Solve for x
    x = 117,421,888,740.72/543,413.20
  6. Step 6: Final answer
    x = 216,082.14

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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.