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Finding the Fourth Proportional to 413,612.60, 620,518.62 and 143,701.41

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Solution

The fourth proportional to 413,612.60, 620,518.62 and 143,701.41 is: 215,586.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,612.60 : 620,518.62 = 143,701.41 : x
  2. Step 2: Convert to fraction form
    413,612.60/620,518.62 = 143,701.41/x
  3. Step 3: Cross multiply
    413,612.60x = 620,518.62 × 143,701.41
  4. Step 4: Simplify right side
    413,612.60x = 89,169,400,625.25
  5. Step 5: Solve for x
    x = 89,169,400,625.25/413,612.60
  6. Step 6: Final answer
    x = 215,586.76

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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.