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Finding the Fourth Proportional to 328,516.20, 490,398.12 and 288,658.20

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Solution

The fourth proportional to 328,516.20, 490,398.12 and 288,658.20 is: 430,899.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,516.20 : 490,398.12 = 288,658.20 : x
  2. Step 2: Convert to fraction form
    328,516.20/490,398.12 = 288,658.20/x
  3. Step 3: Cross multiply
    328,516.20x = 490,398.12 × 288,658.20
  4. Step 4: Simplify right side
    328,516.20x = 141,557,438,602.58
  5. Step 5: Solve for x
    x = 141,557,438,602.58/328,516.20
  6. Step 6: Final answer
    x = 430,899.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.