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Finding the Fourth Proportional to 879,846, 1,214,190.72 and 477,438

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Solution

The fourth proportional to 879,846, 1,214,190.72 and 477,438 is: 658,866.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    879,846 : 1,214,190.72 = 477,438 : x
  2. Step 2: Convert to fraction form
    879,846/1,214,190.72 = 477,438/x
  3. Step 3: Cross multiply
    879,846x = 1,214,190.72 × 477,438
  4. Step 4: Simplify right side
    879,846x = 579,700,788,975.36
  5. Step 5: Solve for x
    x = 579,700,788,975.36/879,846
  6. Step 6: Final answer
    x = 658,866.20

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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.