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Finding the Fourth Proportional to 470,068.20, 705,215.70 and 154,508.40

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Solution

The fourth proportional to 470,068.20, 705,215.70 and 154,508.40 is: 231,799.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,068.20 : 705,215.70 = 154,508.40 : x
  2. Step 2: Convert to fraction form
    470,068.20/705,215.70 = 154,508.40/x
  3. Step 3: Cross multiply
    470,068.20x = 705,215.70 × 154,508.40
  4. Step 4: Simplify right side
    470,068.20x = 108,961,749,461.88
  5. Step 5: Solve for x
    x = 108,961,749,461.88/470,068.20
  6. Step 6: Final answer
    x = 231,799.87

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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.