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Finding the Fourth Proportional to 610,974.08, 916,284 and 255,978.08

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Solution

The fourth proportional to 610,974.08, 916,284 and 255,978.08 is: 383,892.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,974.08 : 916,284 = 255,978.08 : x
  2. Step 2: Convert to fraction form
    610,974.08/916,284 = 255,978.08/x
  3. Step 3: Cross multiply
    610,974.08x = 916,284 × 255,978.08
  4. Step 4: Simplify right side
    610,974.08x = 234,548,619,054.72
  5. Step 5: Solve for x
    x = 234,548,619,054.72/610,974.08
  6. Step 6: Final answer
    x = 383,892.91

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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.