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Finding the Fourth Proportional to 567,286.65, 782,884.71 and 312,637.86

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Solution

The fourth proportional to 567,286.65, 782,884.71 and 312,637.86 is: 431,456.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,286.65 : 782,884.71 = 312,637.86 : x
  2. Step 2: Convert to fraction form
    567,286.65/782,884.71 = 312,637.86/x
  3. Step 3: Cross multiply
    567,286.65x = 782,884.71 × 312,637.86
  4. Step 4: Simplify right side
    567,286.65x = 244,759,400,361.12
  5. Step 5: Solve for x
    x = 244,759,400,361.12/567,286.65
  6. Step 6: Final answer
    x = 431,456.30

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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.