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Finding the Fourth Proportional to 470,147.40, 705,221.10 and 115,164.90

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Solution

The fourth proportional to 470,147.40, 705,221.10 and 115,164.90 is: 172,747.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,147.40 : 705,221.10 = 115,164.90 : x
  2. Step 2: Convert to fraction form
    470,147.40/705,221.10 = 115,164.90/x
  3. Step 3: Cross multiply
    470,147.40x = 705,221.10 × 115,164.90
  4. Step 4: Simplify right side
    470,147.40x = 81,216,717,459.39
  5. Step 5: Solve for x
    x = 81,216,717,459.39/470,147.40
  6. Step 6: Final answer
    x = 172,747.35

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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.