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Finding the Fourth Proportional to 388,384.40, 582,595.80 and 201,760.40

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Solution

The fourth proportional to 388,384.40, 582,595.80 and 201,760.40 is: 302,650.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,384.40 : 582,595.80 = 201,760.40 : x
  2. Step 2: Convert to fraction form
    388,384.40/582,595.80 = 201,760.40/x
  3. Step 3: Cross multiply
    388,384.40x = 582,595.80 × 201,760.40
  4. Step 4: Simplify right side
    388,384.40x = 117,544,761,646.32
  5. Step 5: Solve for x
    x = 117,544,761,646.32/388,384.40
  6. Step 6: Final answer
    x = 302,650.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.