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Finding the Fourth Proportional to 345,890.07, 477,328.31 and 194,987.07

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Solution

The fourth proportional to 345,890.07, 477,328.31 and 194,987.07 is: 269,082.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,890.07 : 477,328.31 = 194,987.07 : x
  2. Step 2: Convert to fraction form
    345,890.07/477,328.31 = 194,987.07/x
  3. Step 3: Cross multiply
    345,890.07x = 477,328.31 × 194,987.07
  4. Step 4: Simplify right side
    345,890.07x = 93,072,847,620.02
  5. Step 5: Solve for x
    x = 93,072,847,620.02/345,890.07
  6. Step 6: Final answer
    x = 269,082.16

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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.