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Finding the Fourth Proportional to 998,584, 1,378,050.84 and 545,875

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Solution

The fourth proportional to 998,584, 1,378,050.84 and 545,875 is: 753,310.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    998,584 : 1,378,050.84 = 545,875 : x
  2. Step 2: Convert to fraction form
    998,584/1,378,050.84 = 545,875/x
  3. Step 3: Cross multiply
    998,584x = 1,378,050.84 × 545,875
  4. Step 4: Simplify right side
    998,584x = 752,243,502,285
  5. Step 5: Solve for x
    x = 752,243,502,285/998,584
  6. Step 6: Final answer
    x = 753,310.19

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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.