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Finding the Fourth Proportional to 611,388.63, 916,787.90 and 256,307.31

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Solution

The fourth proportional to 611,388.63, 916,787.90 and 256,307.31 is: 384,337.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,388.63 : 916,787.90 = 256,307.31 : x
  2. Step 2: Convert to fraction form
    611,388.63/916,787.90 = 256,307.31/x
  3. Step 3: Cross multiply
    611,388.63x = 916,787.90 × 256,307.31
  4. Step 4: Simplify right side
    611,388.63x = 234,979,441,130.32
  5. Step 5: Solve for x
    x = 234,979,441,130.32/611,388.63
  6. Step 6: Final answer
    x = 384,337.28

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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.