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Finding the Fourth Proportional to 501,863.63, 752,824.68 and 142,004.36

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Solution

The fourth proportional to 501,863.63, 752,824.68 and 142,004.36 is: 213,014.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,863.63 : 752,824.68 = 142,004.36 : x
  2. Step 2: Convert to fraction form
    501,863.63/752,824.68 = 142,004.36/x
  3. Step 3: Cross multiply
    501,863.63x = 752,824.68 × 142,004.36
  4. Step 4: Simplify right side
    501,863.63x = 106,904,386,875.61
  5. Step 5: Solve for x
    x = 106,904,386,875.61/501,863.63
  6. Step 6: Final answer
    x = 213,014.81

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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.