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Finding the Fourth Proportional to 525,997.50, 725,876.55 and 299,643

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Solution

The fourth proportional to 525,997.50, 725,876.55 and 299,643 is: 413,507.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,997.50 : 725,876.55 = 299,643 : x
  2. Step 2: Convert to fraction form
    525,997.50/725,876.55 = 299,643/x
  3. Step 3: Cross multiply
    525,997.50x = 725,876.55 × 299,643
  4. Step 4: Simplify right side
    525,997.50x = 217,503,827,071.65
  5. Step 5: Solve for x
    x = 217,503,827,071.65/525,997.50
  6. Step 6: Final answer
    x = 413,507.34

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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.