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Finding the Fourth Proportional to 525,659.48, 725,410.36 and 283,942.05

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Solution

The fourth proportional to 525,659.48, 725,410.36 and 283,942.05 is: 391,840.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,659.48 : 725,410.36 = 283,942.05 : x
  2. Step 2: Convert to fraction form
    525,659.48/725,410.36 = 283,942.05/x
  3. Step 3: Cross multiply
    525,659.48x = 725,410.36 × 283,942.05
  4. Step 4: Simplify right side
    525,659.48x = 205,974,502,344.28
  5. Step 5: Solve for x
    x = 205,974,502,344.28/525,659.48
  6. Step 6: Final answer
    x = 391,840.18

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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.