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Finding the Fourth Proportional to 272,307.80, 407,655.30 and 202,496.60

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Solution

The fourth proportional to 272,307.80, 407,655.30 and 202,496.60 is: 303,145.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,307.80 : 407,655.30 = 202,496.60 : x
  2. Step 2: Convert to fraction form
    272,307.80/407,655.30 = 202,496.60/x
  3. Step 3: Cross multiply
    272,307.80x = 407,655.30 × 202,496.60
  4. Step 4: Simplify right side
    272,307.80x = 82,548,812,221.98
  5. Step 5: Solve for x
    x = 82,548,812,221.98/272,307.80
  6. Step 6: Final answer
    x = 303,145.24

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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.