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Finding the Fourth Proportional to 879,109, 1,213,170.42 and 476,701

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Solution

The fourth proportional to 879,109, 1,213,170.42 and 476,701 is: 657,847.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    879,109 : 1,213,170.42 = 476,701 : x
  2. Step 2: Convert to fraction form
    879,109/1,213,170.42 = 476,701/x
  3. Step 3: Cross multiply
    879,109x = 1,213,170.42 × 476,701
  4. Step 4: Simplify right side
    879,109x = 578,319,552,384.42
  5. Step 5: Solve for x
    x = 578,319,552,384.42/879,109
  6. Step 6: Final answer
    x = 657,847.38

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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.