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Finding the Fourth Proportional to 313,373.40, 470,137.86 and 146,967

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Solution

The fourth proportional to 313,373.40, 470,137.86 and 146,967 is: 220,486.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,373.40 : 470,137.86 = 146,967 : x
  2. Step 2: Convert to fraction form
    313,373.40/470,137.86 = 146,967/x
  3. Step 3: Cross multiply
    313,373.40x = 470,137.86 × 146,967
  4. Step 4: Simplify right side
    313,373.40x = 69,094,750,870.62
  5. Step 5: Solve for x
    x = 69,094,750,870.62/313,373.40
  6. Step 6: Final answer
    x = 220,486.97

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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.