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Finding the Fourth Proportional to 517,242.58, 776,220.66 and 180,286.06

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Solution

The fourth proportional to 517,242.58, 776,220.66 and 180,286.06 is: 270,553.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,242.58 : 776,220.66 = 180,286.06 : x
  2. Step 2: Convert to fraction form
    517,242.58/776,220.66 = 180,286.06/x
  3. Step 3: Cross multiply
    517,242.58x = 776,220.66 × 180,286.06
  4. Step 4: Simplify right side
    517,242.58x = 139,941,764,482.00
  5. Step 5: Solve for x
    x = 139,941,764,482.00/517,242.58
  6. Step 6: Final answer
    x = 270,553.45

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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.