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Finding the Fourth Proportional to 315,253.76, 435,051.27 and 172,016.87

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Solution

The fourth proportional to 315,253.76, 435,051.27 and 172,016.87 is: 237,383.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,253.76 : 435,051.27 = 172,016.87 : x
  2. Step 2: Convert to fraction form
    315,253.76/435,051.27 = 172,016.87/x
  3. Step 3: Cross multiply
    315,253.76x = 435,051.27 × 172,016.87
  4. Step 4: Simplify right side
    315,253.76x = 74,836,155,579.67
  5. Step 5: Solve for x
    x = 74,836,155,579.67/315,253.76
  6. Step 6: Final answer
    x = 237,383.87

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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.