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Finding the Fourth Proportional to 407,808.42, 611,718.78 and 141,577.39

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Solution

The fourth proportional to 407,808.42, 611,718.78 and 141,577.39 is: 212,368.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,808.42 : 611,718.78 = 141,577.39 : x
  2. Step 2: Convert to fraction form
    407,808.42/611,718.78 = 141,577.39/x
  3. Step 3: Cross multiply
    407,808.42x = 611,718.78 × 141,577.39
  4. Step 4: Simplify right side
    407,808.42x = 86,605,548,286.38
  5. Step 5: Solve for x
    x = 86,605,548,286.38/407,808.42
  6. Step 6: Final answer
    x = 212,368.22

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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.