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Finding the Fourth Proportional to 340,027.61, 509,056.47 and 256,141.06

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Solution

The fourth proportional to 340,027.61, 509,056.47 and 256,141.06 is: 383,469.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,027.61 : 509,056.47 = 256,141.06 : x
  2. Step 2: Convert to fraction form
    340,027.61/509,056.47 = 256,141.06/x
  3. Step 3: Cross multiply
    340,027.61x = 509,056.47 × 256,141.06
  4. Step 4: Simplify right side
    340,027.61x = 130,390,262,553.02
  5. Step 5: Solve for x
    x = 130,390,262,553.02/340,027.61
  6. Step 6: Final answer
    x = 383,469.64

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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.