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Finding the Fourth Proportional to 878,880, 1,212,854.40 and 476,472

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Solution

The fourth proportional to 878,880, 1,212,854.40 and 476,472 is: 657,531.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    878,880 : 1,212,854.40 = 476,472 : x
  2. Step 2: Convert to fraction form
    878,880/1,212,854.40 = 476,472/x
  3. Step 3: Cross multiply
    878,880x = 1,212,854.40 × 476,472
  4. Step 4: Simplify right side
    878,880x = 577,891,161,676.80
  5. Step 5: Solve for x
    x = 577,891,161,676.80/878,880
  6. Step 6: Final answer
    x = 657,531.36

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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.