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Finding the Fourth Proportional to 611,611.40, 917,089.05 and 256,223.90

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Solution

The fourth proportional to 611,611.40, 917,089.05 and 256,223.90 is: 384,198.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,611.40 : 917,089.05 = 256,223.90 : x
  2. Step 2: Convert to fraction form
    611,611.40/917,089.05 = 256,223.90/x
  3. Step 3: Cross multiply
    611,611.40x = 917,089.05 × 256,223.90
  4. Step 4: Simplify right side
    611,611.40x = 234,980,133,038.30
  5. Step 5: Solve for x
    x = 234,980,133,038.30/611,611.40
  6. Step 6: Final answer
    x = 384,198.42

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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.