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Finding the Fourth Proportional to 507,645.93, 700,462.56 and 289,755.12

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Solution

The fourth proportional to 507,645.93, 700,462.56 and 289,755.12 is: 399,811.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,645.93 : 700,462.56 = 289,755.12 : x
  2. Step 2: Convert to fraction form
    507,645.93/700,462.56 = 289,755.12/x
  3. Step 3: Cross multiply
    507,645.93x = 700,462.56 × 289,755.12
  4. Step 4: Simplify right side
    507,645.93x = 202,962,609,625.99
  5. Step 5: Solve for x
    x = 202,962,609,625.99/507,645.93
  6. Step 6: Final answer
    x = 399,811.36

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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.