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Finding the Fourth Proportional to 385,940.64, 532,196.55 and 305,240.34

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Solution

The fourth proportional to 385,940.64, 532,196.55 and 305,240.34 is: 420,914.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,940.64 : 532,196.55 = 305,240.34 : x
  2. Step 2: Convert to fraction form
    385,940.64/532,196.55 = 305,240.34/x
  3. Step 3: Cross multiply
    385,940.64x = 532,196.55 × 305,240.34
  4. Step 4: Simplify right side
    385,940.64x = 162,447,855,868.83
  5. Step 5: Solve for x
    x = 162,447,855,868.83/385,940.64
  6. Step 6: Final answer
    x = 420,914.10

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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.