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Finding the Fourth Proportional to 340,353, 510,701.76 and 140,816.58

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Solution

The fourth proportional to 340,353, 510,701.76 and 140,816.58 is: 211,296.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,353 : 510,701.76 = 140,816.58 : x
  2. Step 2: Convert to fraction form
    340,353/510,701.76 = 140,816.58/x
  3. Step 3: Cross multiply
    340,353x = 510,701.76 × 140,816.58
  4. Step 4: Simplify right side
    340,353x = 71,915,275,243.18
  5. Step 5: Solve for x
    x = 71,915,275,243.18/340,353
  6. Step 6: Final answer
    x = 211,296.14

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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.