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Finding the Fourth Proportional to 338,011.68, 509,390.17 and 304,311.36

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Solution

The fourth proportional to 338,011.68, 509,390.17 and 304,311.36 is: 458,603.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,011.68 : 509,390.17 = 304,311.36 : x
  2. Step 2: Convert to fraction form
    338,011.68/509,390.17 = 304,311.36/x
  3. Step 3: Cross multiply
    338,011.68x = 509,390.17 × 304,311.36
  4. Step 4: Simplify right side
    338,011.68x = 155,013,215,403.33
  5. Step 5: Solve for x
    x = 155,013,215,403.33/338,011.68
  6. Step 6: Final answer
    x = 458,603.13

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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.