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Finding the Fourth Proportional to 611,574.90, 917,034.30 and 256,187.40

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Solution

The fourth proportional to 611,574.90, 917,034.30 and 256,187.40 is: 384,143.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,574.90 : 917,034.30 = 256,187.40 : x
  2. Step 2: Convert to fraction form
    611,574.90/917,034.30 = 256,187.40/x
  3. Step 3: Cross multiply
    611,574.90x = 917,034.30 × 256,187.40
  4. Step 4: Simplify right side
    611,574.90x = 234,932,633,027.82
  5. Step 5: Solve for x
    x = 234,932,633,027.82/611,574.90
  6. Step 6: Final answer
    x = 384,143.68

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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.