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Finding the Fourth Proportional to 313,254.62, 432,094.74 and 185,840

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Solution

The fourth proportional to 313,254.62, 432,094.74 and 185,840 is: 256,342.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,254.62 : 432,094.74 = 185,840 : x
  2. Step 2: Convert to fraction form
    313,254.62/432,094.74 = 185,840/x
  3. Step 3: Cross multiply
    313,254.62x = 432,094.74 × 185,840
  4. Step 4: Simplify right side
    313,254.62x = 80,300,486,481.60
  5. Step 5: Solve for x
    x = 80,300,486,481.60/313,254.62
  6. Step 6: Final answer
    x = 256,342.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.