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Finding the Fourth Proportional to 1,499,864, 2,249,804 and 613,400

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Solution

The fourth proportional to 1,499,864, 2,249,804 and 613,400 is: 920,103.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,499,864 : 2,249,804 = 613,400 : x
  2. Step 2: Convert to fraction form
    1,499,864/2,249,804 = 613,400/x
  3. Step 3: Cross multiply
    1,499,864x = 2,249,804 × 613,400
  4. Step 4: Simplify right side
    1,499,864x = 1,380,029,773,600
  5. Step 5: Solve for x
    x = 1,380,029,773,600/1,499,864
  6. Step 6: Final answer
    x = 920,103.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.