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Finding the Fourth Proportional to 413,688.06, 620,378.82 and 147,377.88

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Solution

The fourth proportional to 413,688.06, 620,378.82 and 147,377.88 is: 221,012.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,688.06 : 620,378.82 = 147,377.88 : x
  2. Step 2: Convert to fraction form
    413,688.06/620,378.82 = 147,377.88/x
  3. Step 3: Cross multiply
    413,688.06x = 620,378.82 × 147,377.88
  4. Step 4: Simplify right side
    413,688.06x = 91,430,115,288.50
  5. Step 5: Solve for x
    x = 91,430,115,288.50/413,688.06
  6. Step 6: Final answer
    x = 221,012.22

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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.