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Finding the Fourth Proportional to 566,997.06, 782,427.15 and 312,342.78

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Solution

The fourth proportional to 566,997.06, 782,427.15 and 312,342.78 is: 431,017.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,997.06 : 782,427.15 = 312,342.78 : x
  2. Step 2: Convert to fraction form
    566,997.06/782,427.15 = 312,342.78/x
  3. Step 3: Cross multiply
    566,997.06x = 782,427.15 × 312,342.78
  4. Step 4: Simplify right side
    566,997.06x = 244,385,471,178.48
  5. Step 5: Solve for x
    x = 244,385,471,178.48/566,997.06
  6. Step 6: Final answer
    x = 431,017.18

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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.