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Finding the Fourth Proportional to 566,596.77, 781,902.12 and 311,947.95

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Solution

The fourth proportional to 566,596.77, 781,902.12 and 311,947.95 is: 430,487.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,596.77 : 781,902.12 = 311,947.95 : x
  2. Step 2: Convert to fraction form
    566,596.77/781,902.12 = 311,947.95/x
  3. Step 3: Cross multiply
    566,596.77x = 781,902.12 × 311,947.95
  4. Step 4: Simplify right side
    566,596.77x = 243,912,763,434.65
  5. Step 5: Solve for x
    x = 243,912,763,434.65/566,596.77
  6. Step 6: Final answer
    x = 430,487.39

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Double scale
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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.