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Finding the Fourth Proportional to 517,728.15, 776,275.11 and 201,816

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Solution

The fourth proportional to 517,728.15, 776,275.11 and 201,816 is: 302,600.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,728.15 : 776,275.11 = 201,816 : x
  2. Step 2: Convert to fraction form
    517,728.15/776,275.11 = 201,816/x
  3. Step 3: Cross multiply
    517,728.15x = 776,275.11 × 201,816
  4. Step 4: Simplify right side
    517,728.15x = 156,664,737,599.76
  5. Step 5: Solve for x
    x = 156,664,737,599.76/517,728.15
  6. Step 6: Final answer
    x = 302,600.39

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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.