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Finding the Fourth Proportional to 340,306.15, 510,340.07 and 100,356.34

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Solution

The fourth proportional to 340,306.15, 510,340.07 and 100,356.34 is: 150,499.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,306.15 : 510,340.07 = 100,356.34 : x
  2. Step 2: Convert to fraction form
    340,306.15/510,340.07 = 100,356.34/x
  3. Step 3: Cross multiply
    340,306.15x = 510,340.07 × 100,356.34
  4. Step 4: Simplify right side
    340,306.15x = 51,215,858,527.06
  5. Step 5: Solve for x
    x = 51,215,858,527.06/340,306.15
  6. Step 6: Final answer
    x = 150,499.36

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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.