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Finding the Fourth Proportional to 380,876.64, 571,601.76 and 260,645.76

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Solution

The fourth proportional to 380,876.64, 571,601.76 and 260,645.76 is: 391,164.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,876.64 : 571,601.76 = 260,645.76 : x
  2. Step 2: Convert to fraction form
    380,876.64/571,601.76 = 260,645.76/x
  3. Step 3: Cross multiply
    380,876.64x = 571,601.76 × 260,645.76
  4. Step 4: Simplify right side
    380,876.64x = 148,985,575,152.54
  5. Step 5: Solve for x
    x = 148,985,575,152.54/380,876.64
  6. Step 6: Final answer
    x = 391,164.91

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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.