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Finding the Fourth Proportional to 605,077.36, 907,714.64 and 178,656.29

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Solution

The fourth proportional to 605,077.36, 907,714.64 and 178,656.29 is: 268,013.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,077.36 : 907,714.64 = 178,656.29 : x
  2. Step 2: Convert to fraction form
    605,077.36/907,714.64 = 178,656.29/x
  3. Step 3: Cross multiply
    605,077.36x = 907,714.64 × 178,656.29
  4. Step 4: Simplify right side
    605,077.36x = 162,168,929,961.09
  5. Step 5: Solve for x
    x = 162,168,929,961.09/605,077.36
  6. Step 6: Final answer
    x = 268,013.55

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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.