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Finding the Fourth Proportional to 385,846.20, 532,458 and 211,415.22

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Solution

The fourth proportional to 385,846.20, 532,458 and 211,415.22 is: 291,747.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,846.20 : 532,458 = 211,415.22 : x
  2. Step 2: Convert to fraction form
    385,846.20/532,458 = 211,415.22/x
  3. Step 3: Cross multiply
    385,846.20x = 532,458 × 211,415.22
  4. Step 4: Simplify right side
    385,846.20x = 112,569,725,210.76
  5. Step 5: Solve for x
    x = 112,569,725,210.76/385,846.20
  6. Step 6: Final answer
    x = 291,747.66

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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.