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Finding the Fourth Proportional to 525,893.51, 725,732.70 and 284,175.98

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Solution

The fourth proportional to 525,893.51, 725,732.70 and 284,175.98 is: 392,162.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,893.51 : 725,732.70 = 284,175.98 : x
  2. Step 2: Convert to fraction form
    525,893.51/725,732.70 = 284,175.98/x
  3. Step 3: Cross multiply
    525,893.51x = 725,732.70 × 284,175.98
  4. Step 4: Simplify right side
    525,893.51x = 206,235,799,267.72
  5. Step 5: Solve for x
    x = 206,235,799,267.72/525,893.51
  6. Step 6: Final answer
    x = 392,162.66

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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.