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Finding the Fourth Proportional to 406,784.80, 610,170.66 and 126,302.32

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Solution

The fourth proportional to 406,784.80, 610,170.66 and 126,302.32 is: 189,451.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,784.80 : 610,170.66 = 126,302.32 : x
  2. Step 2: Convert to fraction form
    406,784.80/610,170.66 = 126,302.32/x
  3. Step 3: Cross multiply
    406,784.80x = 610,170.66 × 126,302.32
  4. Step 4: Simplify right side
    406,784.80x = 77,065,969,953.93
  5. Step 5: Solve for x
    x = 77,065,969,953.93/406,784.80
  6. Step 6: Final answer
    x = 189,451.45

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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.