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Finding the Fourth Proportional to 407,012.29, 561,710.59 and 225,782.66

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Solution

The fourth proportional to 407,012.29, 561,710.59 and 225,782.66 is: 311,598.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,012.29 : 561,710.59 = 225,782.66 : x
  2. Step 2: Convert to fraction form
    407,012.29/561,710.59 = 225,782.66/x
  3. Step 3: Cross multiply
    407,012.29x = 561,710.59 × 225,782.66
  4. Step 4: Simplify right side
    407,012.29x = 126,824,512,000.19
  5. Step 5: Solve for x
    x = 126,824,512,000.19/407,012.29
  6. Step 6: Final answer
    x = 311,598.73

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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.