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Finding the Fourth Proportional to 406,918.40, 610,435.20 and 126,406.40

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Solution

The fourth proportional to 406,918.40, 610,435.20 and 126,406.40 is: 189,627.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,918.40 : 610,435.20 = 126,406.40 : x
  2. Step 2: Convert to fraction form
    406,918.40/610,435.20 = 126,406.40/x
  3. Step 3: Cross multiply
    406,918.40x = 610,435.20 × 126,406.40
  4. Step 4: Simplify right side
    406,918.40x = 77,162,916,065.28
  5. Step 5: Solve for x
    x = 77,162,916,065.28/406,918.40
  6. Step 6: Final answer
    x = 189,627.49

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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.