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Finding the Fourth Proportional to 517,503.28, 776,009.08 and 180,503

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Solution

The fourth proportional to 517,503.28, 776,009.08 and 180,503 is: 270,668.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,503.28 : 776,009.08 = 180,503 : x
  2. Step 2: Convert to fraction form
    517,503.28/776,009.08 = 180,503/x
  3. Step 3: Cross multiply
    517,503.28x = 776,009.08 × 180,503
  4. Step 4: Simplify right side
    517,503.28x = 140,071,966,967.24
  5. Step 5: Solve for x
    x = 140,071,966,967.24/517,503.28
  6. Step 6: Final answer
    x = 270,668.75

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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.