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Finding the Fourth Proportional to 525,696.72, 725,460.80 and 283,979.20

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Solution

The fourth proportional to 525,696.72, 725,460.80 and 283,979.20 is: 391,890.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,696.72 : 725,460.80 = 283,979.20 : x
  2. Step 2: Convert to fraction form
    525,696.72/725,460.80 = 283,979.20/x
  3. Step 3: Cross multiply
    525,696.72x = 725,460.80 × 283,979.20
  4. Step 4: Simplify right side
    525,696.72x = 206,015,777,615.36
  5. Step 5: Solve for x
    x = 206,015,777,615.36/525,696.72
  6. Step 6: Final answer
    x = 391,890.93

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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.