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Finding the Fourth Proportional to 517,630.19, 714,144.78 and 299,719.94

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Solution

The fourth proportional to 517,630.19, 714,144.78 and 299,719.94 is: 413,506.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,630.19 : 714,144.78 = 299,719.94 : x
  2. Step 2: Convert to fraction form
    517,630.19/714,144.78 = 299,719.94/x
  3. Step 3: Cross multiply
    517,630.19x = 714,144.78 × 299,719.94
  4. Step 4: Simplify right side
    517,630.19x = 214,043,427,042.19
  5. Step 5: Solve for x
    x = 214,043,427,042.19/517,630.19
  6. Step 6: Final answer
    x = 413,506.46

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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.