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Finding the Fourth Proportional to 514,009.37, 771,721.58 and 261,460.76

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Solution

The fourth proportional to 514,009.37, 771,721.58 and 261,460.76 is: 392,551.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,009.37 : 771,721.58 = 261,460.76 : x
  2. Step 2: Convert to fraction form
    514,009.37/771,721.58 = 261,460.76/x
  3. Step 3: Cross multiply
    514,009.37x = 771,721.58 × 261,460.76
  4. Step 4: Simplify right side
    514,009.37x = 201,774,907,610.25
  5. Step 5: Solve for x
    x = 201,774,907,610.25/514,009.37
  6. Step 6: Final answer
    x = 392,551.03

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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.