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Finding the Fourth Proportional to 312,864.02, 469,383.51 and 102,649.58

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Solution

The fourth proportional to 312,864.02, 469,383.51 and 102,649.58 is: 154,003.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,864.02 : 469,383.51 = 102,649.58 : x
  2. Step 2: Convert to fraction form
    312,864.02/469,383.51 = 102,649.58/x
  3. Step 3: Cross multiply
    312,864.02x = 469,383.51 × 102,649.58
  4. Step 4: Simplify right side
    312,864.02x = 48,182,020,160.43
  5. Step 5: Solve for x
    x = 48,182,020,160.43/312,864.02
  6. Step 6: Final answer
    x = 154,003.07

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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.