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Finding the Fourth Proportional to 543,952, 816,015.42 and 228,499.12

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Solution

The fourth proportional to 543,952, 816,015.42 and 228,499.12 is: 342,785.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,952 : 816,015.42 = 228,499.12 : x
  2. Step 2: Convert to fraction form
    543,952/816,015.42 = 228,499.12/x
  3. Step 3: Cross multiply
    543,952x = 816,015.42 × 228,499.12
  4. Step 4: Simplify right side
    543,952x = 186,458,805,376.43
  5. Step 5: Solve for x
    x = 186,458,805,376.43/543,952
  6. Step 6: Final answer
    x = 342,785.40

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1.5x scale

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.