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Finding the Fourth Proportional to 566,865, 782,273.70 and 312,216.19

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Solution

The fourth proportional to 566,865, 782,273.70 and 312,216.19 is: 430,858.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,865 : 782,273.70 = 312,216.19 : x
  2. Step 2: Convert to fraction form
    566,865/782,273.70 = 312,216.19/x
  3. Step 3: Cross multiply
    566,865x = 782,273.70 × 312,216.19
  4. Step 4: Simplify right side
    566,865x = 244,238,512,195.52
  5. Step 5: Solve for x
    x = 244,238,512,195.52/566,865
  6. Step 6: Final answer
    x = 430,858.34

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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.