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Finding the Fourth Proportional to 566,411.36, 781,641.76 and 311,757.12

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Solution

The fourth proportional to 566,411.36, 781,641.76 and 311,757.12 is: 430,221.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,411.36 : 781,641.76 = 311,757.12 : x
  2. Step 2: Convert to fraction form
    566,411.36/781,641.76 = 311,757.12/x
  3. Step 3: Cross multiply
    566,411.36x = 781,641.76 × 311,757.12
  4. Step 4: Simplify right side
    566,411.36x = 243,682,383,969.33
  5. Step 5: Solve for x
    x = 243,682,383,969.33/566,411.36
  6. Step 6: Final answer
    x = 430,221.57

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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.