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Finding the Fourth Proportional to 406,810.68, 610,188.66 and 140,574.84

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Solution

The fourth proportional to 406,810.68, 610,188.66 and 140,574.84 is: 210,852.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,810.68 : 610,188.66 = 140,574.84 : x
  2. Step 2: Convert to fraction form
    406,810.68/610,188.66 = 140,574.84/x
  3. Step 3: Cross multiply
    406,810.68x = 610,188.66 × 140,574.84
  4. Step 4: Simplify right side
    406,810.68x = 85,777,173,249.31
  5. Step 5: Solve for x
    x = 85,777,173,249.31/406,810.68
  6. Step 6: Final answer
    x = 210,852.81

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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.