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Finding the Fourth Proportional to 653,712.86, 901,864.34 and 378,019.76

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Solution

The fourth proportional to 653,712.86, 901,864.34 and 378,019.76 is: 521,517.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,712.86 : 901,864.34 = 378,019.76 : x
  2. Step 2: Convert to fraction form
    653,712.86/901,864.34 = 378,019.76/x
  3. Step 3: Cross multiply
    653,712.86x = 901,864.34 × 378,019.76
  4. Step 4: Simplify right side
    653,712.86x = 340,922,541,359.36
  5. Step 5: Solve for x
    x = 340,922,541,359.36/653,712.86
  6. Step 6: Final answer
    x = 521,517.26

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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.