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Finding the Fourth Proportional to 469,910.32, 648,458.87 and 255,045.78

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Solution

The fourth proportional to 469,910.32, 648,458.87 and 255,045.78 is: 351,953.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,910.32 : 648,458.87 = 255,045.78 : x
  2. Step 2: Convert to fraction form
    469,910.32/648,458.87 = 255,045.78/x
  3. Step 3: Cross multiply
    469,910.32x = 648,458.87 × 255,045.78
  4. Step 4: Simplify right side
    469,910.32x = 165,386,697,021.84
  5. Step 5: Solve for x
    x = 165,386,697,021.84/469,910.32
  6. Step 6: Final answer
    x = 351,953.75

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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.