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Finding the Fourth Proportional to 307,979.20, 462,017.40 and 97,638.40

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Solution

The fourth proportional to 307,979.20, 462,017.40 and 97,638.40 is: 146,473.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,979.20 : 462,017.40 = 97,638.40 : x
  2. Step 2: Convert to fraction form
    307,979.20/462,017.40 = 97,638.40/x
  3. Step 3: Cross multiply
    307,979.20x = 462,017.40 × 97,638.40
  4. Step 4: Simplify right side
    307,979.20x = 45,110,639,708.16
  5. Step 5: Solve for x
    x = 45,110,639,708.16/307,979.20
  6. Step 6: Final answer
    x = 146,473.01

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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.