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Finding the Fourth Proportional to 517,464.28, 776,141.81 and 138,423.28

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Solution

The fourth proportional to 517,464.28, 776,141.81 and 138,423.28 is: 207,620.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,464.28 : 776,141.81 = 138,423.28 : x
  2. Step 2: Convert to fraction form
    517,464.28/776,141.81 = 138,423.28/x
  3. Step 3: Cross multiply
    517,464.28x = 776,141.81 × 138,423.28
  4. Step 4: Simplify right side
    517,464.28x = 107,436,095,085.34
  5. Step 5: Solve for x
    x = 107,436,095,085.34/517,464.28
  6. Step 6: Final answer
    x = 207,620.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.