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Finding the Fourth Proportional to 491,285.80, 736,929.06 and 136,300.15

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Solution

The fourth proportional to 491,285.80, 736,929.06 and 136,300.15 is: 204,450.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,285.80 : 736,929.06 = 136,300.15 : x
  2. Step 2: Convert to fraction form
    491,285.80/736,929.06 = 136,300.15/x
  3. Step 3: Cross multiply
    491,285.80x = 736,929.06 × 136,300.15
  4. Step 4: Simplify right side
    491,285.80x = 100,443,541,417.36
  5. Step 5: Solve for x
    x = 100,443,541,417.36/491,285.80
  6. Step 6: Final answer
    x = 204,450.32

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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.