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Finding the Fourth Proportional to 410,511.87, 566,897.61 and 388,147.36

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Solution

The fourth proportional to 410,511.87, 566,897.61 and 388,147.36 is: 536,013.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,511.87 : 566,897.61 = 388,147.36 : x
  2. Step 2: Convert to fraction form
    410,511.87/566,897.61 = 388,147.36/x
  3. Step 3: Cross multiply
    410,511.87x = 566,897.61 × 388,147.36
  4. Step 4: Simplify right side
    410,511.87x = 220,039,810,711.81
  5. Step 5: Solve for x
    x = 220,039,810,711.81/410,511.87
  6. Step 6: Final answer
    x = 536,013.27

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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.