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Finding the Fourth Proportional to 470,014.20, 705,021.30 and 270,948.60

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Solution

The fourth proportional to 470,014.20, 705,021.30 and 270,948.60 is: 406,422.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,014.20 : 705,021.30 = 270,948.60 : x
  2. Step 2: Convert to fraction form
    470,014.20/705,021.30 = 270,948.60/x
  3. Step 3: Cross multiply
    470,014.20x = 705,021.30 × 270,948.60
  4. Step 4: Simplify right side
    470,014.20x = 191,024,534,205.18
  5. Step 5: Solve for x
    x = 191,024,534,205.18/470,014.20
  6. Step 6: Final answer
    x = 406,422.90

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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.