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Finding the Fourth Proportional to 517,760.98, 776,280.38 and 229,415.79

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Solution

The fourth proportional to 517,760.98, 776,280.38 and 229,415.79 is: 343,963.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,760.98 : 776,280.38 = 229,415.79 : x
  2. Step 2: Convert to fraction form
    517,760.98/776,280.38 = 229,415.79/x
  3. Step 3: Cross multiply
    517,760.98x = 776,280.38 × 229,415.79
  4. Step 4: Simplify right side
    517,760.98x = 178,090,980,338.87
  5. Step 5: Solve for x
    x = 178,090,980,338.87/517,760.98
  6. Step 6: Final answer
    x = 343,963.70

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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.