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Finding the Fourth Proportional to 350,142.20, 525,213.30 and 314,712.80

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Solution

The fourth proportional to 350,142.20, 525,213.30 and 314,712.80 is: 472,069.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,142.20 : 525,213.30 = 314,712.80 : x
  2. Step 2: Convert to fraction form
    350,142.20/525,213.30 = 314,712.80/x
  3. Step 3: Cross multiply
    350,142.20x = 525,213.30 × 314,712.80
  4. Step 4: Simplify right side
    350,142.20x = 165,291,348,240.24
  5. Step 5: Solve for x
    x = 165,291,348,240.24/350,142.20
  6. Step 6: Final answer
    x = 472,069.20

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1.5x scale

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.