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Finding the Fourth Proportional to 525,709.56, 725,478.48 and 299,355.06

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Solution

The fourth proportional to 525,709.56, 725,478.48 and 299,355.06 is: 413,109.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,709.56 : 725,478.48 = 299,355.06 : x
  2. Step 2: Convert to fraction form
    525,709.56/725,478.48 = 299,355.06/x
  3. Step 3: Cross multiply
    525,709.56x = 725,478.48 × 299,355.06
  4. Step 4: Simplify right side
    525,709.56x = 217,175,653,909.11
  5. Step 5: Solve for x
    x = 217,175,653,909.11/525,709.56
  6. Step 6: Final answer
    x = 413,109.58

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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.