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Finding the Fourth Proportional to 509,921.80, 765,101.40 and 260,603.80

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Solution

The fourth proportional to 509,921.80, 765,101.40 and 260,603.80 is: 391,017.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,921.80 : 765,101.40 = 260,603.80 : x
  2. Step 2: Convert to fraction form
    509,921.80/765,101.40 = 260,603.80/x
  3. Step 3: Cross multiply
    509,921.80x = 765,101.40 × 260,603.80
  4. Step 4: Simplify right side
    509,921.80x = 199,388,332,225.32
  5. Step 5: Solve for x
    x = 199,388,332,225.32/509,921.80
  6. Step 6: Final answer
    x = 391,017.47

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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.