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Finding the Fourth Proportional to 640,013.40, 960,020.10 and 519,744.60

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Solution

The fourth proportional to 640,013.40, 960,020.10 and 519,744.60 is: 779,616.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,013.40 : 960,020.10 = 519,744.60 : x
  2. Step 2: Convert to fraction form
    640,013.40/960,020.10 = 519,744.60/x
  3. Step 3: Cross multiply
    640,013.40x = 960,020.10 × 519,744.60
  4. Step 4: Simplify right side
    640,013.40x = 498,965,262,866.46
  5. Step 5: Solve for x
    x = 498,965,262,866.46/640,013.40
  6. Step 6: Final answer
    x = 779,616.90

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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.