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Finding the Fourth Proportional to 407,809.42, 611,720.28 and 141,578.40

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Solution

The fourth proportional to 407,809.42, 611,720.28 and 141,578.40 is: 212,369.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,809.42 : 611,720.28 = 141,578.40 : x
  2. Step 2: Convert to fraction form
    407,809.42/611,720.28 = 141,578.40/x
  3. Step 3: Cross multiply
    407,809.42x = 611,720.28 × 141,578.40
  4. Step 4: Simplify right side
    407,809.42x = 86,606,378,489.95
  5. Step 5: Solve for x
    x = 86,606,378,489.95/407,809.42
  6. Step 6: Final answer
    x = 212,369.74

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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.