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Finding the Fourth Proportional to 459,418.72, 634,011.54 and 278,163.80

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Solution

The fourth proportional to 459,418.72, 634,011.54 and 278,163.80 is: 383,874.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,418.72 : 634,011.54 = 278,163.80 : x
  2. Step 2: Convert to fraction form
    459,418.72/634,011.54 = 278,163.80/x
  3. Step 3: Cross multiply
    459,418.72x = 634,011.54 × 278,163.80
  4. Step 4: Simplify right side
    459,418.72x = 176,359,059,210.25
  5. Step 5: Solve for x
    x = 176,359,059,210.25/459,418.72
  6. Step 6: Final answer
    x = 383,874.34

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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.