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Finding the Fourth Proportional to 407,061.90, 561,377.72 and 254,114.21

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Solution

The fourth proportional to 407,061.90, 561,377.72 and 254,114.21 is: 350,448.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,061.90 : 561,377.72 = 254,114.21 : x
  2. Step 2: Convert to fraction form
    407,061.90/561,377.72 = 254,114.21/x
  3. Step 3: Cross multiply
    407,061.90x = 561,377.72 × 254,114.21
  4. Step 4: Simplify right side
    407,061.90x = 142,654,057,868.13
  5. Step 5: Solve for x
    x = 142,654,057,868.13/407,061.90
  6. Step 6: Final answer
    x = 350,448.07

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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.