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Finding the Fourth Proportional to 785,511, 1,084,005.18 and 427,815

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Solution

The fourth proportional to 785,511, 1,084,005.18 and 427,815 is: 590,384.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,511 : 1,084,005.18 = 427,815 : x
  2. Step 2: Convert to fraction form
    785,511/1,084,005.18 = 427,815/x
  3. Step 3: Cross multiply
    785,511x = 1,084,005.18 × 427,815
  4. Step 4: Simplify right side
    785,511x = 463,753,676,081.70
  5. Step 5: Solve for x
    x = 463,753,676,081.70/785,511
  6. Step 6: Final answer
    x = 590,384.70

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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.