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Finding the Fourth Proportional to 493,874.82, 740,915.51 and 280,740.74

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Solution

The fourth proportional to 493,874.82, 740,915.51 and 280,740.74 is: 421,169.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,874.82 : 740,915.51 = 280,740.74 : x
  2. Step 2: Convert to fraction form
    493,874.82/740,915.51 = 280,740.74/x
  3. Step 3: Cross multiply
    493,874.82x = 740,915.51 × 280,740.74
  4. Step 4: Simplify right side
    493,874.82x = 208,005,163,446.60
  5. Step 5: Solve for x
    x = 208,005,163,446.60/493,874.82
  6. Step 6: Final answer
    x = 421,169.81

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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.