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Finding the Fourth Proportional to 501,249.26, 691,572.81 and 307,457.81

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Solution

The fourth proportional to 501,249.26, 691,572.81 and 307,457.81 is: 424,199.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,249.26 : 691,572.81 = 307,457.81 : x
  2. Step 2: Convert to fraction form
    501,249.26/691,572.81 = 307,457.81/x
  3. Step 3: Cross multiply
    501,249.26x = 691,572.81 × 307,457.81
  4. Step 4: Simplify right side
    501,249.26x = 212,629,461,618.15
  5. Step 5: Solve for x
    x = 212,629,461,618.15/501,249.26
  6. Step 6: Final answer
    x = 424,199.05

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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.