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Finding the Fourth Proportional to 413,561.70, 620,342.55 and 280,851.30

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Solution

The fourth proportional to 413,561.70, 620,342.55 and 280,851.30 is: 421,276.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,561.70 : 620,342.55 = 280,851.30 : x
  2. Step 2: Convert to fraction form
    413,561.70/620,342.55 = 280,851.30/x
  3. Step 3: Cross multiply
    413,561.70x = 620,342.55 × 280,851.30
  4. Step 4: Simplify right side
    413,561.70x = 174,224,011,612.82
  5. Step 5: Solve for x
    x = 174,224,011,612.82/413,561.70
  6. Step 6: Final answer
    x = 421,276.95

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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.