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Finding the Fourth Proportional to 478,122.57, 659,825.51 and 263,277.45

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Solution

The fourth proportional to 478,122.57, 659,825.51 and 263,277.45 is: 363,331.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,122.57 : 659,825.51 = 263,277.45 : x
  2. Step 2: Convert to fraction form
    478,122.57/659,825.51 = 263,277.45/x
  3. Step 3: Cross multiply
    478,122.57x = 659,825.51 × 263,277.45
  4. Step 4: Simplify right side
    478,122.57x = 173,717,176,401.36
  5. Step 5: Solve for x
    x = 173,717,176,401.36/478,122.57
  6. Step 6: Final answer
    x = 363,331.89

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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.