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Finding the Fourth Proportional to 611,295.60, 917,380.80 and 256,564.20

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Solution

The fourth proportional to 611,295.60, 917,380.80 and 256,564.20 is: 385,029.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,295.60 : 917,380.80 = 256,564.20 : x
  2. Step 2: Convert to fraction form
    611,295.60/917,380.80 = 256,564.20/x
  3. Step 3: Cross multiply
    611,295.60x = 917,380.80 × 256,564.20
  4. Step 4: Simplify right side
    611,295.60x = 235,367,071,047.36
  5. Step 5: Solve for x
    x = 235,367,071,047.36/611,295.60
  6. Step 6: Final answer
    x = 385,029.88

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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.