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Finding the Fourth Proportional to 307,830.40, 462,091.20 and 238,019.20

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Solution

The fourth proportional to 307,830.40, 462,091.20 and 238,019.20 is: 357,296.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,830.40 : 462,091.20 = 238,019.20 : x
  2. Step 2: Convert to fraction form
    307,830.40/462,091.20 = 238,019.20/x
  3. Step 3: Cross multiply
    307,830.40x = 462,091.20 × 238,019.20
  4. Step 4: Simplify right side
    307,830.40x = 109,986,577,751.04
  5. Step 5: Solve for x
    x = 109,986,577,751.04/307,830.40
  6. Step 6: Final answer
    x = 357,296.02

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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.