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Finding the Fourth Proportional to 525,407.25, 725,062.82 and 299,052.75

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Solution

The fourth proportional to 525,407.25, 725,062.82 and 299,052.75 is: 412,693.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,407.25 : 725,062.82 = 299,052.75 : x
  2. Step 2: Convert to fraction form
    525,407.25/725,062.82 = 299,052.75/x
  3. Step 3: Cross multiply
    525,407.25x = 725,062.82 × 299,052.75
  4. Step 4: Simplify right side
    525,407.25x = 216,832,028,748.49
  5. Step 5: Solve for x
    x = 216,832,028,748.49/525,407.25
  6. Step 6: Final answer
    x = 412,693.26

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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.