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Finding the Fourth Proportional to 653,138.22, 901,269.10 and 366,602.34

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Solution

The fourth proportional to 653,138.22, 901,269.10 and 366,602.34 is: 505,876.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,138.22 : 901,269.10 = 366,602.34 : x
  2. Step 2: Convert to fraction form
    653,138.22/901,269.10 = 366,602.34/x
  3. Step 3: Cross multiply
    653,138.22x = 901,269.10 × 366,602.34
  4. Step 4: Simplify right side
    653,138.22x = 330,407,361,029.69
  5. Step 5: Solve for x
    x = 330,407,361,029.69/653,138.22
  6. Step 6: Final answer
    x = 505,876.63

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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.