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Finding the Fourth Proportional to 300,543.31, 450,864.23 and 142,718.46

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Solution

The fourth proportional to 300,543.31, 450,864.23 and 142,718.46 is: 214,101.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,543.31 : 450,864.23 = 142,718.46 : x
  2. Step 2: Convert to fraction form
    300,543.31/450,864.23 = 142,718.46/x
  3. Step 3: Cross multiply
    300,543.31x = 450,864.23 × 142,718.46
  4. Step 4: Simplify right side
    300,543.31x = 64,346,646,170.35
  5. Step 5: Solve for x
    x = 64,346,646,170.35/300,543.31
  6. Step 6: Final answer
    x = 214,101.08

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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.