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Finding the Fourth Proportional to 280,849.40, 421,274.10 and 266,415.20

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Solution

The fourth proportional to 280,849.40, 421,274.10 and 266,415.20 is: 399,622.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,849.40 : 421,274.10 = 266,415.20 : x
  2. Step 2: Convert to fraction form
    280,849.40/421,274.10 = 266,415.20/x
  3. Step 3: Cross multiply
    280,849.40x = 421,274.10 × 266,415.20
  4. Step 4: Simplify right side
    280,849.40x = 112,233,823,606.32
  5. Step 5: Solve for x
    x = 112,233,823,606.32/280,849.40
  6. Step 6: Final answer
    x = 399,622.80

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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.