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Finding the Fourth Proportional to 406,912.90, 610,426.95 and 126,400.90

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Solution

The fourth proportional to 406,912.90, 610,426.95 and 126,400.90 is: 189,619.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,912.90 : 610,426.95 = 126,400.90 : x
  2. Step 2: Convert to fraction form
    406,912.90/610,426.95 = 126,400.90/x
  3. Step 3: Cross multiply
    406,912.90x = 610,426.95 × 126,400.90
  4. Step 4: Simplify right side
    406,912.90x = 77,158,515,864.26
  5. Step 5: Solve for x
    x = 77,158,515,864.26/406,912.90
  6. Step 6: Final answer
    x = 189,619.24

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1.5x scale

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.