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Finding the Fourth Proportional to 457,611, 631,503.36 and 278,763

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Solution

The fourth proportional to 457,611, 631,503.36 and 278,763 is: 384,693.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,611 : 631,503.36 = 278,763 : x
  2. Step 2: Convert to fraction form
    457,611/631,503.36 = 278,763/x
  3. Step 3: Cross multiply
    457,611x = 631,503.36 × 278,763
  4. Step 4: Simplify right side
    457,611x = 176,039,771,143.68
  5. Step 5: Solve for x
    x = 176,039,771,143.68/457,611
  6. Step 6: Final answer
    x = 384,693.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.