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Finding the Fourth Proportional to 406,984.88, 561,086.52 and 343,210.88

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Solution

The fourth proportional to 406,984.88, 561,086.52 and 343,210.88 is: 473,164.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,984.88 : 561,086.52 = 343,210.88 : x
  2. Step 2: Convert to fraction form
    406,984.88/561,086.52 = 343,210.88/x
  3. Step 3: Cross multiply
    406,984.88x = 561,086.52 × 343,210.88
  4. Step 4: Simplify right side
    406,984.88x = 192,570,998,285.34
  5. Step 5: Solve for x
    x = 192,570,998,285.34/406,984.88
  6. Step 6: Final answer
    x = 473,164.99

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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.