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Finding the Fourth Proportional to 468,384.10, 646,197.15 and 307,328.56

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Solution

The fourth proportional to 468,384.10, 646,197.15 and 307,328.56 is: 423,999.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,384.10 : 646,197.15 = 307,328.56 : x
  2. Step 2: Convert to fraction form
    468,384.10/646,197.15 = 307,328.56/x
  3. Step 3: Cross multiply
    468,384.10x = 646,197.15 × 307,328.56
  4. Step 4: Simplify right side
    468,384.10x = 198,594,839,585.60
  5. Step 5: Solve for x
    x = 198,594,839,585.60/468,384.10
  6. Step 6: Final answer
    x = 423,999.96

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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.