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Finding the Fourth Proportional to 406,078.11, 559,103.85 and 357,645.78

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Solution

The fourth proportional to 406,078.11, 559,103.85 and 357,645.78 is: 492,420.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,078.11 : 559,103.85 = 357,645.78 : x
  2. Step 2: Convert to fraction form
    406,078.11/559,103.85 = 357,645.78/x
  3. Step 3: Cross multiply
    406,078.11x = 559,103.85 × 357,645.78
  4. Step 4: Simplify right side
    406,078.11x = 199,961,132,534.25
  5. Step 5: Solve for x
    x = 199,961,132,534.25/406,078.11
  6. Step 6: Final answer
    x = 492,420.37

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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.