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Finding the Fourth Proportional to 216,215.20, 323,545.20 and 146,231.20

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Solution

The fourth proportional to 216,215.20, 323,545.20 and 146,231.20 is: 218,820.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,215.20 : 323,545.20 = 146,231.20 : x
  2. Step 2: Convert to fraction form
    216,215.20/323,545.20 = 146,231.20/x
  3. Step 3: Cross multiply
    216,215.20x = 323,545.20 × 146,231.20
  4. Step 4: Simplify right side
    216,215.20x = 47,312,402,850.24
  5. Step 5: Solve for x
    x = 47,312,402,850.24/216,215.20
  6. Step 6: Final answer
    x = 218,820.89

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1.5x scale

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.