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Finding the Fourth Proportional to 389,852.13, 584,714.11 and 137,073.21

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Solution

The fourth proportional to 389,852.13, 584,714.11 and 137,073.21 is: 205,587.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,852.13 : 584,714.11 = 137,073.21 : x
  2. Step 2: Convert to fraction form
    389,852.13/584,714.11 = 137,073.21/x
  3. Step 3: Cross multiply
    389,852.13x = 584,714.11 × 137,073.21
  4. Step 4: Simplify right side
    389,852.13x = 80,148,639,989.99
  5. Step 5: Solve for x
    x = 80,148,639,989.99/389,852.13
  6. Step 6: Final answer
    x = 205,587.28

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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.