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Finding the Fourth Proportional to 502,785.78, 693,858.06 and 273,358.50

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Solution

The fourth proportional to 502,785.78, 693,858.06 and 273,358.50 is: 377,242.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,785.78 : 693,858.06 = 273,358.50 : x
  2. Step 2: Convert to fraction form
    502,785.78/693,858.06 = 273,358.50/x
  3. Step 3: Cross multiply
    502,785.78x = 693,858.06 × 273,358.50
  4. Step 4: Simplify right side
    502,785.78x = 189,671,998,494.51
  5. Step 5: Solve for x
    x = 189,671,998,494.51/502,785.78
  6. Step 6: Final answer
    x = 377,242.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.