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Finding the Fourth Proportional to 413,742.20, 620,686.20 and 147,657.20

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Solution

The fourth proportional to 413,742.20, 620,686.20 and 147,657.20 is: 221,511.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,742.20 : 620,686.20 = 147,657.20 : x
  2. Step 2: Convert to fraction form
    413,742.20/620,686.20 = 147,657.20/x
  3. Step 3: Cross multiply
    413,742.20x = 620,686.20 × 147,657.20
  4. Step 4: Simplify right side
    413,742.20x = 91,648,786,370.64
  5. Step 5: Solve for x
    x = 91,648,786,370.64/413,742.20
  6. Step 6: Final answer
    x = 221,511.82

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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.