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Finding the Fourth Proportional to 517,434, 776,151 and 143,457

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Solution

The fourth proportional to 517,434, 776,151 and 143,457 is: 215,185.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,434 : 776,151 = 143,457 : x
  2. Step 2: Convert to fraction form
    517,434/776,151 = 143,457/x
  3. Step 3: Cross multiply
    517,434x = 776,151 × 143,457
  4. Step 4: Simplify right side
    517,434x = 111,344,294,007
  5. Step 5: Solve for x
    x = 111,344,294,007/517,434
  6. Step 6: Final answer
    x = 215,185.50

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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.