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Finding the Fourth Proportional to 407,276.10, 610,914.15 and 140,948.10

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Solution

The fourth proportional to 407,276.10, 610,914.15 and 140,948.10 is: 211,422.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,276.10 : 610,914.15 = 140,948.10 : x
  2. Step 2: Convert to fraction form
    407,276.10/610,914.15 = 140,948.10/x
  3. Step 3: Cross multiply
    407,276.10x = 610,914.15 × 140,948.10
  4. Step 4: Simplify right side
    407,276.10x = 86,107,188,705.62
  5. Step 5: Solve for x
    x = 86,107,188,705.62/407,276.10
  6. Step 6: Final answer
    x = 211,422.15

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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.