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Finding the Fourth Proportional to 517,504.28, 776,010.58 and 180,504

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Solution

The fourth proportional to 517,504.28, 776,010.58 and 180,504 is: 270,670.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,504.28 : 776,010.58 = 180,504 : x
  2. Step 2: Convert to fraction form
    517,504.28/776,010.58 = 180,504/x
  3. Step 3: Cross multiply
    517,504.28x = 776,010.58 × 180,504
  4. Step 4: Simplify right side
    517,504.28x = 140,073,013,732.32
  5. Step 5: Solve for x
    x = 140,073,013,732.32/517,504.28
  6. Step 6: Final answer
    x = 270,670.25

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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.