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Finding the Fourth Proportional to 525,773.40, 725,567.63 and 284,055.87

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Solution

The fourth proportional to 525,773.40, 725,567.63 and 284,055.87 is: 391,997.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,773.40 : 725,567.63 = 284,055.87 : x
  2. Step 2: Convert to fraction form
    525,773.40/725,567.63 = 284,055.87/x
  3. Step 3: Cross multiply
    525,773.40x = 725,567.63 × 284,055.87
  4. Step 4: Simplify right side
    525,773.40x = 206,101,744,383.49
  5. Step 5: Solve for x
    x = 206,101,744,383.49/525,773.40
  6. Step 6: Final answer
    x = 391,997.28

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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.