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Finding the Fourth Proportional to 371,688.40, 512,973.96 and 220,786

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Solution

The fourth proportional to 371,688.40, 512,973.96 and 220,786 is: 304,710.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,688.40 : 512,973.96 = 220,786 : x
  2. Step 2: Convert to fraction form
    371,688.40/512,973.96 = 220,786/x
  3. Step 3: Cross multiply
    371,688.40x = 512,973.96 × 220,786
  4. Step 4: Simplify right side
    371,688.40x = 113,257,468,732.56
  5. Step 5: Solve for x
    x = 113,257,468,732.56/371,688.40
  6. Step 6: Final answer
    x = 304,710.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.