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Finding the Fourth Proportional to 611,165.40, 917,076.15 and 256,215.30

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Solution

The fourth proportional to 611,165.40, 917,076.15 and 256,215.30 is: 384,460.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,165.40 : 917,076.15 = 256,215.30 : x
  2. Step 2: Convert to fraction form
    611,165.40/917,076.15 = 256,215.30/x
  3. Step 3: Cross multiply
    611,165.40x = 917,076.15 × 256,215.30
  4. Step 4: Simplify right side
    611,165.40x = 234,968,940,895.10
  5. Step 5: Solve for x
    x = 234,968,940,895.10/611,165.40
  6. Step 6: Final answer
    x = 384,460.48

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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.