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Finding the Fourth Proportional to 478,210.78, 659,935.20 and 263,351.71

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Solution

The fourth proportional to 478,210.78, 659,935.20 and 263,351.71 is: 363,427.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,210.78 : 659,935.20 = 263,351.71 : x
  2. Step 2: Convert to fraction form
    478,210.78/659,935.20 = 263,351.71/x
  3. Step 3: Cross multiply
    478,210.78x = 659,935.20 × 263,351.71
  4. Step 4: Simplify right side
    478,210.78x = 173,795,063,409.19
  5. Step 5: Solve for x
    x = 173,795,063,409.19/478,210.78
  6. Step 6: Final answer
    x = 363,427.74

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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.