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Finding the Fourth Proportional to 345,762, 477,155.21 and 194,859

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Solution

The fourth proportional to 345,762, 477,155.21 and 194,859 is: 268,907.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,762 : 477,155.21 = 194,859 : x
  2. Step 2: Convert to fraction form
    345,762/477,155.21 = 194,859/x
  3. Step 3: Cross multiply
    345,762x = 477,155.21 × 194,859
  4. Step 4: Simplify right side
    345,762x = 92,977,986,091.10
  5. Step 5: Solve for x
    x = 92,977,986,091.10/345,762
  6. Step 6: Final answer
    x = 268,907.47

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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.