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Finding the Fourth Proportional to 652,299.28, 900,142.54 and 361,907.80

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Solution

The fourth proportional to 652,299.28, 900,142.54 and 361,907.80 is: 499,415.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,299.28 : 900,142.54 = 361,907.80 : x
  2. Step 2: Convert to fraction form
    652,299.28/900,142.54 = 361,907.80/x
  3. Step 3: Cross multiply
    652,299.28x = 900,142.54 × 361,907.80
  4. Step 4: Simplify right side
    652,299.28x = 325,768,603,182.69
  5. Step 5: Solve for x
    x = 325,768,603,182.69/652,299.28
  6. Step 6: Final answer
    x = 499,415.86

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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.