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Finding the Fourth Proportional to 567,219, 782,764.80 and 312,564.72

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Solution

The fourth proportional to 567,219, 782,764.80 and 312,564.72 is: 431,340.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,219 : 782,764.80 = 312,564.72 : x
  2. Step 2: Convert to fraction form
    567,219/782,764.80 = 312,564.72/x
  3. Step 3: Cross multiply
    567,219x = 782,764.80 × 312,564.72
  4. Step 4: Simplify right side
    567,219x = 244,664,660,537.86
  5. Step 5: Solve for x
    x = 244,664,660,537.86/567,219
  6. Step 6: Final answer
    x = 431,340.74

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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.