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Finding the Fourth Proportional to 497,131.48, 745,118.78 and 284,048.66

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Solution

The fourth proportional to 497,131.48, 745,118.78 and 284,048.66 is: 425,742.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,131.48 : 745,118.78 = 284,048.66 : x
  2. Step 2: Convert to fraction form
    497,131.48/745,118.78 = 284,048.66/x
  3. Step 3: Cross multiply
    497,131.48x = 745,118.78 × 284,048.66
  4. Step 4: Simplify right side
    497,131.48x = 211,649,990,999.84
  5. Step 5: Solve for x
    x = 211,649,990,999.84/497,131.48
  6. Step 6: Final answer
    x = 425,742.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.