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Finding the Fourth Proportional to 402,807.30, 603,692.55 and 308,847.30

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Solution

The fourth proportional to 402,807.30, 603,692.55 and 308,847.30 is: 462,873.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,807.30 : 603,692.55 = 308,847.30 : x
  2. Step 2: Convert to fraction form
    402,807.30/603,692.55 = 308,847.30/x
  3. Step 3: Cross multiply
    402,807.30x = 603,692.55 × 308,847.30
  4. Step 4: Simplify right side
    402,807.30x = 186,448,814,097.62
  5. Step 5: Solve for x
    x = 186,448,814,097.62/402,807.30
  6. Step 6: Final answer
    x = 462,873.47

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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.