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Finding the Fourth Proportional to 307,735.80, 461,142.90 and 260,734.20

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Solution

The fourth proportional to 307,735.80, 461,142.90 and 260,734.20 is: 390,710.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,735.80 : 461,142.90 = 260,734.20 : x
  2. Step 2: Convert to fraction form
    307,735.80/461,142.90 = 260,734.20/x
  3. Step 3: Cross multiply
    307,735.80x = 461,142.90 × 260,734.20
  4. Step 4: Simplify right side
    307,735.80x = 120,235,725,117.18
  5. Step 5: Solve for x
    x = 120,235,725,117.18/307,735.80
  6. Step 6: Final answer
    x = 390,710.88

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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.