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Finding the Fourth Proportional to 406,909.80, 610,364.70 and 111,421.80

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Solution

The fourth proportional to 406,909.80, 610,364.70 and 111,421.80 is: 167,132.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,909.80 : 610,364.70 = 111,421.80 : x
  2. Step 2: Convert to fraction form
    406,909.80/610,364.70 = 111,421.80/x
  3. Step 3: Cross multiply
    406,909.80x = 610,364.70 × 111,421.80
  4. Step 4: Simplify right side
    406,909.80x = 68,007,933,530.46
  5. Step 5: Solve for x
    x = 68,007,933,530.46/406,909.80
  6. Step 6: Final answer
    x = 167,132.70

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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.