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Finding the Fourth Proportional to 307,764.40, 461,689.80 and 97,380.40

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Solution

The fourth proportional to 307,764.40, 461,689.80 and 97,380.40 is: 146,084.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,764.40 : 461,689.80 = 97,380.40 : x
  2. Step 2: Convert to fraction form
    307,764.40/461,689.80 = 97,380.40/x
  3. Step 3: Cross multiply
    307,764.40x = 461,689.80 × 97,380.40
  4. Step 4: Simplify right side
    307,764.40x = 44,959,537,399.92
  5. Step 5: Solve for x
    x = 44,959,537,399.92/307,764.40
  6. Step 6: Final answer
    x = 146,084.27

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1.5x scale

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.