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Finding the Fourth Proportional to 455,239.76, 682,970.40 and 151,633.16

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Solution

The fourth proportional to 455,239.76, 682,970.40 and 151,633.16 is: 227,486.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,239.76 : 682,970.40 = 151,633.16 : x
  2. Step 2: Convert to fraction form
    455,239.76/682,970.40 = 151,633.16/x
  3. Step 3: Cross multiply
    455,239.76x = 682,970.40 × 151,633.16
  4. Step 4: Simplify right side
    455,239.76x = 103,560,959,938.46
  5. Step 5: Solve for x
    x = 103,560,959,938.46/455,239.76
  6. Step 6: Final answer
    x = 227,486.63

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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.