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Finding the Fourth Proportional to 567,016.20, 782,524.80 and 312,368.40

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Solution

The fourth proportional to 567,016.20, 782,524.80 and 312,368.40 is: 431,091.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,016.20 : 782,524.80 = 312,368.40 : x
  2. Step 2: Convert to fraction form
    567,016.20/782,524.80 = 312,368.40/x
  3. Step 3: Cross multiply
    567,016.20x = 782,524.80 × 312,368.40
  4. Step 4: Simplify right side
    567,016.20x = 244,436,019,736.32
  5. Step 5: Solve for x
    x = 244,436,019,736.32/567,016.20
  6. Step 6: Final answer
    x = 431,091.77

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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.