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Finding the Fourth Proportional to 307,573.80, 461,360.70 and 278,049.30

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Solution

The fourth proportional to 307,573.80, 461,360.70 and 278,049.30 is: 417,073.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,573.80 : 461,360.70 = 278,049.30 : x
  2. Step 2: Convert to fraction form
    307,573.80/461,360.70 = 278,049.30/x
  3. Step 3: Cross multiply
    307,573.80x = 461,360.70 × 278,049.30
  4. Step 4: Simplify right side
    307,573.80x = 128,281,019,682.51
  5. Step 5: Solve for x
    x = 128,281,019,682.51/307,573.80
  6. Step 6: Final answer
    x = 417,073.95

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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.