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Finding the Fourth Proportional to 402,271.20, 603,795.60 and 202,816.80

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Solution

The fourth proportional to 402,271.20, 603,795.60 and 202,816.80 is: 304,421.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,271.20 : 603,795.60 = 202,816.80 : x
  2. Step 2: Convert to fraction form
    402,271.20/603,795.60 = 202,816.80/x
  3. Step 3: Cross multiply
    402,271.20x = 603,795.60 × 202,816.80
  4. Step 4: Simplify right side
    402,271.20x = 122,459,891,446.08
  5. Step 5: Solve for x
    x = 122,459,891,446.08/402,271.20
  6. Step 6: Final answer
    x = 304,421.22

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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.