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Finding the Fourth Proportional to 385,206.40, 532,113.60 and 349,436.80

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Solution

The fourth proportional to 385,206.40, 532,113.60 and 349,436.80 is: 482,702.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,206.40 : 532,113.60 = 349,436.80 : x
  2. Step 2: Convert to fraction form
    385,206.40/532,113.60 = 349,436.80/x
  3. Step 3: Cross multiply
    385,206.40x = 532,113.60 × 349,436.80
  4. Step 4: Simplify right side
    385,206.40x = 185,940,073,620.48
  5. Step 5: Solve for x
    x = 185,940,073,620.48/385,206.40
  6. Step 6: Final answer
    x = 482,702.45

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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.