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Finding the Fourth Proportional to 330,357.42, 455,815.15 and 194,397.30

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Solution

The fourth proportional to 330,357.42, 455,815.15 and 194,397.30 is: 268,222.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,357.42 : 455,815.15 = 194,397.30 : x
  2. Step 2: Convert to fraction form
    330,357.42/455,815.15 = 194,397.30/x
  3. Step 3: Cross multiply
    330,357.42x = 455,815.15 × 194,397.30
  4. Step 4: Simplify right side
    330,357.42x = 88,609,233,973.10
  5. Step 5: Solve for x
    x = 88,609,233,973.10/330,357.42
  6. Step 6: Final answer
    x = 268,222.32

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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.