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Finding the Fourth Proportional to 525,529.80, 725,231.82 and 299,175

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Solution

The fourth proportional to 525,529.80, 725,231.82 and 299,175 is: 412,861.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,529.80 : 725,231.82 = 299,175 : x
  2. Step 2: Convert to fraction form
    525,529.80/725,231.82 = 299,175/x
  3. Step 3: Cross multiply
    525,529.80x = 725,231.82 × 299,175
  4. Step 4: Simplify right side
    525,529.80x = 216,971,229,748.50
  5. Step 5: Solve for x
    x = 216,971,229,748.50/525,529.80
  6. Step 6: Final answer
    x = 412,861.90

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1.5x scale

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.