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Finding the Fourth Proportional to 340,306.24, 510,459.52 and 140,406.92

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Solution

The fourth proportional to 340,306.24, 510,459.52 and 140,406.92 is: 210,610.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,306.24 : 510,459.52 = 140,406.92 : x
  2. Step 2: Convert to fraction form
    340,306.24/510,459.52 = 140,406.92/x
  3. Step 3: Cross multiply
    340,306.24x = 510,459.52 × 140,406.92
  4. Step 4: Simplify right side
    340,306.24x = 71,672,048,262.05
  5. Step 5: Solve for x
    x = 71,672,048,262.05/340,306.24
  6. Step 6: Final answer
    x = 210,610.45

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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.