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Finding the Fourth Proportional to 470,143.20, 705,328.20 and 154,583.40

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Solution

The fourth proportional to 470,143.20, 705,328.20 and 154,583.40 is: 231,912.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,143.20 : 705,328.20 = 154,583.40 : x
  2. Step 2: Convert to fraction form
    470,143.20/705,328.20 = 154,583.40/x
  3. Step 3: Cross multiply
    470,143.20x = 705,328.20 × 154,583.40
  4. Step 4: Simplify right side
    470,143.20x = 109,032,031,271.88
  5. Step 5: Solve for x
    x = 109,032,031,271.88/470,143.20
  6. Step 6: Final answer
    x = 231,912.39

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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.