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Finding the Fourth Proportional to 580,465.84, 799,612.86 and 494,146.54

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Solution

The fourth proportional to 580,465.84, 799,612.86 and 494,146.54 is: 680,704.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,465.84 : 799,612.86 = 494,146.54 : x
  2. Step 2: Convert to fraction form
    580,465.84/799,612.86 = 494,146.54/x
  3. Step 3: Cross multiply
    580,465.84x = 799,612.86 × 494,146.54
  4. Step 4: Simplify right side
    580,465.84x = 395,125,928,108.50
  5. Step 5: Solve for x
    x = 395,125,928,108.50/580,465.84
  6. Step 6: Final answer
    x = 680,704.88

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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.