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Finding the Fourth Proportional to 525,999, 725,878.62 and 299,644.50

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Solution

The fourth proportional to 525,999, 725,878.62 and 299,644.50 is: 413,509.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,999 : 725,878.62 = 299,644.50 : x
  2. Step 2: Convert to fraction form
    525,999/725,878.62 = 299,644.50/x
  3. Step 3: Cross multiply
    525,999x = 725,878.62 × 299,644.50
  4. Step 4: Simplify right side
    525,999x = 217,505,536,150.59
  5. Step 5: Solve for x
    x = 217,505,536,150.59/525,999
  6. Step 6: Final answer
    x = 413,509.41

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1.5x scale

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.