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Finding the Fourth Proportional to 696,714, 961,473 and 378,762

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Solution

The fourth proportional to 696,714, 961,473 and 378,762 is: 522,695.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,714 : 961,473 = 378,762 : x
  2. Step 2: Convert to fraction form
    696,714/961,473 = 378,762/x
  3. Step 3: Cross multiply
    696,714x = 961,473 × 378,762
  4. Step 4: Simplify right side
    696,714x = 364,169,436,426
  5. Step 5: Solve for x
    x = 364,169,436,426/696,714
  6. Step 6: Final answer
    x = 522,695.74

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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.