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Finding the Fourth Proportional to 693,705.96, 957,423.78 and 421,859.16

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Solution

The fourth proportional to 693,705.96, 957,423.78 and 421,859.16 is: 582,232.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,705.96 : 957,423.78 = 421,859.16 : x
  2. Step 2: Convert to fraction form
    693,705.96/957,423.78 = 421,859.16/x
  3. Step 3: Cross multiply
    693,705.96x = 957,423.78 × 421,859.16
  4. Step 4: Simplify right side
    693,705.96x = 403,897,991,594.83
  5. Step 5: Solve for x
    x = 403,897,991,594.83/693,705.96
  6. Step 6: Final answer
    x = 582,232.26

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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.