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Finding the Fourth Proportional to 407,238.60, 610,711.53 and 140,926.80

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Solution

The fourth proportional to 407,238.60, 610,711.53 and 140,926.80 is: 211,339.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,238.60 : 610,711.53 = 140,926.80 : x
  2. Step 2: Convert to fraction form
    407,238.60/610,711.53 = 140,926.80/x
  3. Step 3: Cross multiply
    407,238.60x = 610,711.53 × 140,926.80
  4. Step 4: Simplify right side
    407,238.60x = 86,065,621,646.00
  5. Step 5: Solve for x
    x = 86,065,621,646.00/407,238.60
  6. Step 6: Final answer
    x = 211,339.55

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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.