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Finding the Fourth Proportional to 561,857.40, 842,895.45 and 162,511.20

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Solution

The fourth proportional to 561,857.40, 842,895.45 and 162,511.20 is: 243,798.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,857.40 : 842,895.45 = 162,511.20 : x
  2. Step 2: Convert to fraction form
    561,857.40/842,895.45 = 162,511.20/x
  3. Step 3: Cross multiply
    561,857.40x = 842,895.45 × 162,511.20
  4. Step 4: Simplify right side
    561,857.40x = 136,979,951,054.04
  5. Step 5: Solve for x
    x = 136,979,951,054.04/561,857.40
  6. Step 6: Final answer
    x = 243,798.43

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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.