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Finding the Fourth Proportional to 313,843.40, 470,765.10 and 103,430.60

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Solution

The fourth proportional to 313,843.40, 470,765.10 and 103,430.60 is: 155,145.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,843.40 : 470,765.10 = 103,430.60 : x
  2. Step 2: Convert to fraction form
    313,843.40/470,765.10 = 103,430.60/x
  3. Step 3: Cross multiply
    313,843.40x = 470,765.10 × 103,430.60
  4. Step 4: Simplify right side
    313,843.40x = 48,691,516,752.06
  5. Step 5: Solve for x
    x = 48,691,516,752.06/313,843.40
  6. Step 6: Final answer
    x = 155,145.90

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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.