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Finding the Fourth Proportional to 616,698.84, 851,186.52 and 401,463.96

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Solution

The fourth proportional to 616,698.84, 851,186.52 and 401,463.96 is: 554,112.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,698.84 : 851,186.52 = 401,463.96 : x
  2. Step 2: Convert to fraction form
    616,698.84/851,186.52 = 401,463.96/x
  3. Step 3: Cross multiply
    616,698.84x = 851,186.52 × 401,463.96
  4. Step 4: Simplify right side
    616,698.84x = 341,720,711,017.82
  5. Step 5: Solve for x
    x = 341,720,711,017.82/616,698.84
  6. Step 6: Final answer
    x = 554,112.78

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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.