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Finding the Fourth Proportional to 406,568.88, 561,345.12 and 310,908.96

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Solution

The fourth proportional to 406,568.88, 561,345.12 and 310,908.96 is: 429,268.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,568.88 : 561,345.12 = 310,908.96 : x
  2. Step 2: Convert to fraction form
    406,568.88/561,345.12 = 310,908.96/x
  3. Step 3: Cross multiply
    406,568.88x = 561,345.12 × 310,908.96
  4. Step 4: Simplify right side
    406,568.88x = 174,527,227,460.28
  5. Step 5: Solve for x
    x = 174,527,227,460.28/406,568.88
  6. Step 6: Final answer
    x = 429,268.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.