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Finding the Fourth Proportional to 340,309.95, 510,465.05 and 140,410.72

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Solution

The fourth proportional to 340,309.95, 510,465.05 and 140,410.72 is: 210,616.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,309.95 : 510,465.05 = 140,410.72 : x
  2. Step 2: Convert to fraction form
    340,309.95/510,465.05 = 140,410.72/x
  3. Step 3: Cross multiply
    340,309.95x = 510,465.05 × 140,410.72
  4. Step 4: Simplify right side
    340,309.95x = 71,674,765,205.34
  5. Step 5: Solve for x
    x = 71,674,765,205.34/340,309.95
  6. Step 6: Final answer
    x = 210,616.13

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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.