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Finding the Fourth Proportional to 330,396.10, 497,815.20 and 298,841.32

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Solution

The fourth proportional to 330,396.10, 497,815.20 and 298,841.32 is: 450,270.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,396.10 : 497,815.20 = 298,841.32 : x
  2. Step 2: Convert to fraction form
    330,396.10/497,815.20 = 298,841.32/x
  3. Step 3: Cross multiply
    330,396.10x = 497,815.20 × 298,841.32
  4. Step 4: Simplify right side
    330,396.10x = 148,767,751,484.06
  5. Step 5: Solve for x
    x = 148,767,751,484.06/330,396.10
  6. Step 6: Final answer
    x = 450,270.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.