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Finding the Fourth Proportional to 350,524.60, 525,095.70 and 209,865.40

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Solution

The fourth proportional to 350,524.60, 525,095.70 and 209,865.40 is: 314,384.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,524.60 : 525,095.70 = 209,865.40 : x
  2. Step 2: Convert to fraction form
    350,524.60/525,095.70 = 209,865.40/x
  3. Step 3: Cross multiply
    350,524.60x = 525,095.70 × 209,865.40
  4. Step 4: Simplify right side
    350,524.60x = 110,199,419,118.78
  5. Step 5: Solve for x
    x = 110,199,419,118.78/350,524.60
  6. Step 6: Final answer
    x = 314,384.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.