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Finding the Fourth Proportional to 298,509.53, 411,242.33 and 207,709.54

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Solution

The fourth proportional to 298,509.53, 411,242.33 and 207,709.54 is: 286,151.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,509.53 : 411,242.33 = 207,709.54 : x
  2. Step 2: Convert to fraction form
    298,509.53/411,242.33 = 207,709.54/x
  3. Step 3: Cross multiply
    298,509.53x = 411,242.33 × 207,709.54
  4. Step 4: Simplify right side
    298,509.53x = 85,418,954,684.00
  5. Step 5: Solve for x
    x = 85,418,954,684.00/298,509.53
  6. Step 6: Final answer
    x = 286,151.52

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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.