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Finding the Fourth Proportional to 276,898.47, 415,341.74 and 77,213.54

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Solution

The fourth proportional to 276,898.47, 415,341.74 and 77,213.54 is: 115,818.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,898.47 : 415,341.74 = 77,213.54 : x
  2. Step 2: Convert to fraction form
    276,898.47/415,341.74 = 77,213.54/x
  3. Step 3: Cross multiply
    276,898.47x = 415,341.74 × 77,213.54
  4. Step 4: Simplify right side
    276,898.47x = 32,070,003,592.38
  5. Step 5: Solve for x
    x = 32,070,003,592.38/276,898.47
  6. Step 6: Final answer
    x = 115,818.64

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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.