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Finding the Fourth Proportional to 507,348.86, 700,099.89 and 289,556.47

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Solution

The fourth proportional to 507,348.86, 700,099.89 and 289,556.47 is: 399,564.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,348.86 : 700,099.89 = 289,556.47 : x
  2. Step 2: Convert to fraction form
    507,348.86/700,099.89 = 289,556.47/x
  3. Step 3: Cross multiply
    507,348.86x = 700,099.89 × 289,556.47
  4. Step 4: Simplify right side
    507,348.86x = 202,718,449,295.29
  5. Step 5: Solve for x
    x = 202,718,449,295.29/507,348.86
  6. Step 6: Final answer
    x = 399,564.22

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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.