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Finding the Fourth Proportional to 577,386.80, 866,024.50 and 177,920.31

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Solution

The fourth proportional to 577,386.80, 866,024.50 and 177,920.31 is: 266,863.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,386.80 : 866,024.50 = 177,920.31 : x
  2. Step 2: Convert to fraction form
    577,386.80/866,024.50 = 177,920.31/x
  3. Step 3: Cross multiply
    577,386.80x = 866,024.50 × 177,920.31
  4. Step 4: Simplify right side
    577,386.80x = 154,083,347,507.60
  5. Step 5: Solve for x
    x = 154,083,347,507.60/577,386.80
  6. Step 6: Final answer
    x = 266,863.30

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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.