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Finding the Fourth Proportional to 517,978.40, 777,033.20 and 144,001.40

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Solution

The fourth proportional to 517,978.40, 777,033.20 and 144,001.40 is: 216,020.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,978.40 : 777,033.20 = 144,001.40 : x
  2. Step 2: Convert to fraction form
    517,978.40/777,033.20 = 144,001.40/x
  3. Step 3: Cross multiply
    517,978.40x = 777,033.20 × 144,001.40
  4. Step 4: Simplify right side
    517,978.40x = 111,893,865,121.32
  5. Step 5: Solve for x
    x = 111,893,865,121.32/517,978.40
  6. Step 6: Final answer
    x = 216,020.33

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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.