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Finding the Fourth Proportional to 525,531.30, 725,233.16 and 283,813.88

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Solution

The fourth proportional to 525,531.30, 725,233.16 and 283,813.88 is: 391,663.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,531.30 : 725,233.16 = 283,813.88 : x
  2. Step 2: Convert to fraction form
    525,531.30/725,233.16 = 283,813.88/x
  3. Step 3: Cross multiply
    525,531.30x = 725,233.16 × 283,813.88
  4. Step 4: Simplify right side
    525,531.30x = 205,831,237,044.26
  5. Step 5: Solve for x
    x = 205,831,237,044.26/525,531.30
  6. Step 6: Final answer
    x = 391,663.14

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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.