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Finding the Fourth Proportional to 470,401.14, 705,711.15 and 154,860.78

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Solution

The fourth proportional to 470,401.14, 705,711.15 and 154,860.78 is: 232,327.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,401.14 : 705,711.15 = 154,860.78 : x
  2. Step 2: Convert to fraction form
    470,401.14/705,711.15 = 154,860.78/x
  3. Step 3: Cross multiply
    470,401.14x = 705,711.15 × 154,860.78
  4. Step 4: Simplify right side
    470,401.14x = 109,286,979,143.70
  5. Step 5: Solve for x
    x = 109,286,979,143.70/470,401.14
  6. Step 6: Final answer
    x = 232,327.20

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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.