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Finding the Fourth Proportional to 525,861.42, 725,837.40 and 311,076.18

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Solution

The fourth proportional to 525,861.42, 725,837.40 and 311,076.18 is: 429,373.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,861.42 : 725,837.40 = 311,076.18 : x
  2. Step 2: Convert to fraction form
    525,861.42/725,837.40 = 311,076.18/x
  3. Step 3: Cross multiply
    525,861.42x = 725,837.40 × 311,076.18
  4. Step 4: Simplify right side
    525,861.42x = 225,790,725,693.13
  5. Step 5: Solve for x
    x = 225,790,725,693.13/525,861.42
  6. Step 6: Final answer
    x = 429,373.06

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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.