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Finding the Fourth Proportional to 402,196.80, 602,420.40 and 323,464.80

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Solution

The fourth proportional to 402,196.80, 602,420.40 and 323,464.80 is: 484,493.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,196.80 : 602,420.40 = 323,464.80 : x
  2. Step 2: Convert to fraction form
    402,196.80/602,420.40 = 323,464.80/x
  3. Step 3: Cross multiply
    402,196.80x = 602,420.40 × 323,464.80
  4. Step 4: Simplify right side
    402,196.80x = 194,861,794,201.92
  5. Step 5: Solve for x
    x = 194,861,794,201.92/402,196.80
  6. Step 6: Final answer
    x = 484,493.65

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1.5x scale

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.