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Finding the Fourth Proportional to 567,208.12, 782,752.45 and 312,568.42

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Solution

The fourth proportional to 567,208.12, 782,752.45 and 312,568.42 is: 431,347.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,208.12 : 782,752.45 = 312,568.42 : x
  2. Step 2: Convert to fraction form
    567,208.12/782,752.45 = 312,568.42/x
  3. Step 3: Cross multiply
    567,208.12x = 782,752.45 × 312,568.42
  4. Step 4: Simplify right side
    567,208.12x = 244,663,692,633.87
  5. Step 5: Solve for x
    x = 244,663,692,633.87/567,208.12
  6. Step 6: Final answer
    x = 431,347.31

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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.