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Finding the Fourth Proportional to 309,078.84, 462,398.40 and 234,409.80

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Solution

The fourth proportional to 309,078.84, 462,398.40 and 234,409.80 is: 350,689.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,078.84 : 462,398.40 = 234,409.80 : x
  2. Step 2: Convert to fraction form
    309,078.84/462,398.40 = 234,409.80/x
  3. Step 3: Cross multiply
    309,078.84x = 462,398.40 × 234,409.80
  4. Step 4: Simplify right side
    309,078.84x = 108,390,716,464.32
  5. Step 5: Solve for x
    x = 108,390,716,464.32/309,078.84
  6. Step 6: Final answer
    x = 350,689.54

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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.