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Finding the Fourth Proportional to 307,762.83, 424,904.73 and 198,924.15

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Solution

The fourth proportional to 307,762.83, 424,904.73 and 198,924.15 is: 274,639.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,762.83 : 424,904.73 = 198,924.15 : x
  2. Step 2: Convert to fraction form
    307,762.83/424,904.73 = 198,924.15/x
  3. Step 3: Cross multiply
    307,762.83x = 424,904.73 × 198,924.15
  4. Step 4: Simplify right side
    307,762.83x = 84,523,812,246.23
  5. Step 5: Solve for x
    x = 84,523,812,246.23/307,762.83
  6. Step 6: Final answer
    x = 274,639.44

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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.