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Finding the Fourth Proportional to 209,411.48, 313,998.21 and 142,932.08

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Solution

The fourth proportional to 209,411.48, 313,998.21 and 142,932.08 is: 214,316.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,411.48 : 313,998.21 = 142,932.08 : x
  2. Step 2: Convert to fraction form
    209,411.48/313,998.21 = 142,932.08/x
  3. Step 3: Cross multiply
    209,411.48x = 313,998.21 × 142,932.08
  4. Step 4: Simplify right side
    209,411.48x = 44,880,415,701.59
  5. Step 5: Solve for x
    x = 44,880,415,701.59/209,411.48
  6. Step 6: Final answer
    x = 214,316.89

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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.