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Finding the Fourth Proportional to 407,812.55, 611,724.98 and 141,581.52

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Solution

The fourth proportional to 407,812.55, 611,724.98 and 141,581.52 is: 212,374.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,812.55 : 611,724.98 = 141,581.52 : x
  2. Step 2: Convert to fraction form
    407,812.55/611,724.98 = 141,581.52/x
  3. Step 3: Cross multiply
    407,812.55x = 611,724.98 × 141,581.52
  4. Step 4: Simplify right side
    407,812.55x = 86,608,952,844.32
  5. Step 5: Solve for x
    x = 86,608,952,844.32/407,812.55
  6. Step 6: Final answer
    x = 212,374.42

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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.