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Finding the Fourth Proportional to 653,418.32, 901,814.92 and 398,917.36

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Solution

The fourth proportional to 653,418.32, 901,814.92 and 398,917.36 is: 550,565.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,418.32 : 901,814.92 = 398,917.36 : x
  2. Step 2: Convert to fraction form
    653,418.32/901,814.92 = 398,917.36/x
  3. Step 3: Cross multiply
    653,418.32x = 901,814.92 × 398,917.36
  4. Step 4: Simplify right side
    653,418.32x = 359,749,627,095.01
  5. Step 5: Solve for x
    x = 359,749,627,095.01/653,418.32
  6. Step 6: Final answer
    x = 550,565.57

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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.