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Finding the Fourth Proportional to 585,455, 878,184.66 and 142,223

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Solution

The fourth proportional to 585,455, 878,184.66 and 142,223 is: 213,335.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,455 : 878,184.66 = 142,223 : x
  2. Step 2: Convert to fraction form
    585,455/878,184.66 = 142,223/x
  3. Step 3: Cross multiply
    585,455x = 878,184.66 × 142,223
  4. Step 4: Simplify right side
    585,455x = 124,898,056,899.18
  5. Step 5: Solve for x
    x = 124,898,056,899.18/585,455
  6. Step 6: Final answer
    x = 213,335.02

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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.