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Finding the Fourth Proportional to 294,802.36, 442,212.20 and 81,572.02

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Solution

The fourth proportional to 294,802.36, 442,212.20 and 81,572.02 is: 122,360.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,802.36 : 442,212.20 = 81,572.02 : x
  2. Step 2: Convert to fraction form
    294,802.36/442,212.20 = 81,572.02/x
  3. Step 3: Cross multiply
    294,802.36x = 442,212.20 × 81,572.02
  4. Step 4: Simplify right side
    294,802.36x = 36,072,144,209.74
  5. Step 5: Solve for x
    x = 36,072,144,209.74/294,802.36
  6. Step 6: Final answer
    x = 122,360.43

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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.