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Finding the Fourth Proportional to 517,456.66, 776,130.40 and 138,415.64

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Solution

The fourth proportional to 517,456.66, 776,130.40 and 138,415.64 is: 207,608.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,456.66 : 776,130.40 = 138,415.64 : x
  2. Step 2: Convert to fraction form
    517,456.66/776,130.40 = 138,415.64/x
  3. Step 3: Cross multiply
    517,456.66x = 776,130.40 × 138,415.64
  4. Step 4: Simplify right side
    517,456.66x = 107,428,586,039.46
  5. Step 5: Solve for x
    x = 107,428,586,039.46/517,456.66
  6. Step 6: Final answer
    x = 207,608.86

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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.