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Finding the Fourth Proportional to 765,336, 1,056,163.68 and 447,384

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Solution

The fourth proportional to 765,336, 1,056,163.68 and 447,384 is: 617,389.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,336 : 1,056,163.68 = 447,384 : x
  2. Step 2: Convert to fraction form
    765,336/1,056,163.68 = 447,384/x
  3. Step 3: Cross multiply
    765,336x = 1,056,163.68 × 447,384
  4. Step 4: Simplify right side
    765,336x = 472,510,731,813.12
  5. Step 5: Solve for x
    x = 472,510,731,813.12/765,336
  6. Step 6: Final answer
    x = 617,389.92

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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.