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Finding the Fourth Proportional to 611,144.40, 917,407.80 and 361,966.80

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Solution

The fourth proportional to 611,144.40, 917,407.80 and 361,966.80 is: 543,359.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,144.40 : 917,407.80 = 361,966.80 : x
  2. Step 2: Convert to fraction form
    611,144.40/917,407.80 = 361,966.80/x
  3. Step 3: Cross multiply
    611,144.40x = 917,407.80 × 361,966.80
  4. Step 4: Simplify right side
    611,144.40x = 332,071,165,661.04
  5. Step 5: Solve for x
    x = 332,071,165,661.04/611,144.40
  6. Step 6: Final answer
    x = 543,359.58

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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.