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Finding the Fourth Proportional to 380,878.64, 571,604.76 and 260,647.76

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Solution

The fourth proportional to 380,878.64, 571,604.76 and 260,647.76 is: 391,167.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,878.64 : 571,604.76 = 260,647.76 : x
  2. Step 2: Convert to fraction form
    380,878.64/571,604.76 = 260,647.76/x
  3. Step 3: Cross multiply
    380,878.64x = 571,604.76 × 260,647.76
  4. Step 4: Simplify right side
    380,878.64x = 148,987,500,299.34
  5. Step 5: Solve for x
    x = 148,987,500,299.34/380,878.64
  6. Step 6: Final answer
    x = 391,167.91

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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.