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Finding the Fourth Proportional to 709,880.82, 1,065,346.14 and 260,880

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Solution

The fourth proportional to 709,880.82, 1,065,346.14 and 260,880 is: 391,512.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,880.82 : 1,065,346.14 = 260,880 : x
  2. Step 2: Convert to fraction form
    709,880.82/1,065,346.14 = 260,880/x
  3. Step 3: Cross multiply
    709,880.82x = 1,065,346.14 × 260,880
  4. Step 4: Simplify right side
    709,880.82x = 277,927,501,003.20
  5. Step 5: Solve for x
    x = 277,927,501,003.20/709,880.82
  6. Step 6: Final answer
    x = 391,512.90

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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.