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Finding the Fourth Proportional to 406,641.60, 561,166.85 and 225,356.60

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Solution

The fourth proportional to 406,641.60, 561,166.85 and 225,356.60 is: 310,992.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,641.60 : 561,166.85 = 225,356.60 : x
  2. Step 2: Convert to fraction form
    406,641.60/561,166.85 = 225,356.60/x
  3. Step 3: Cross multiply
    406,641.60x = 561,166.85 × 225,356.60
  4. Step 4: Simplify right side
    406,641.60x = 126,462,655,315.02
  5. Step 5: Solve for x
    x = 126,462,655,315.02/406,641.60
  6. Step 6: Final answer
    x = 310,992.91

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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.