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Finding the Fourth Proportional to 1,380,784.61, 1,905,097.77 and 890,546.69

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Solution

The fourth proportional to 1,380,784.61, 1,905,097.77 and 890,546.69 is: 1,228,706.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380,784.61 : 1,905,097.77 = 890,546.69 : x
  2. Step 2: Convert to fraction form
    1,380,784.61/1,905,097.77 = 890,546.69/x
  3. Step 3: Cross multiply
    1,380,784.61x = 1,905,097.77 × 890,546.69
  4. Step 4: Simplify right side
    1,380,784.61x = 1,696,578,503,674.39
  5. Step 5: Solve for x
    x = 1,696,578,503,674.39/1,380,784.61
  6. Step 6: Final answer
    x = 1,228,706.13

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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.