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Finding the Fourth Proportional to 470,401.64, 705,711.90 and 154,861.28

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Solution

The fourth proportional to 470,401.64, 705,711.90 and 154,861.28 is: 232,327.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,401.64 : 705,711.90 = 154,861.28 : x
  2. Step 2: Convert to fraction form
    470,401.64/705,711.90 = 154,861.28/x
  3. Step 3: Cross multiply
    470,401.64x = 705,711.90 × 154,861.28
  4. Step 4: Simplify right side
    470,401.64x = 109,287,448,145.23
  5. Step 5: Solve for x
    x = 109,287,448,145.23/470,401.64
  6. Step 6: Final answer
    x = 232,327.95

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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.