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Finding the Fourth Proportional to 340,318.95, 510,478.58 and 140,419.72

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Solution

The fourth proportional to 340,318.95, 510,478.58 and 140,419.72 is: 210,629.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,318.95 : 510,478.58 = 140,419.72 : x
  2. Step 2: Convert to fraction form
    340,318.95/510,478.58 = 140,419.72/x
  3. Step 3: Cross multiply
    340,318.95x = 510,478.58 × 140,419.72
  4. Step 4: Simplify right side
    340,318.95x = 71,681,259,269.60
  5. Step 5: Solve for x
    x = 71,681,259,269.60/340,318.95
  6. Step 6: Final answer
    x = 210,629.64

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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.