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Finding the Fourth Proportional to 523,620.72, 785,415.42 and 144,564.55

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Solution

The fourth proportional to 523,620.72, 785,415.42 and 144,564.55 is: 216,842.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,620.72 : 785,415.42 = 144,564.55 : x
  2. Step 2: Convert to fraction form
    523,620.72/785,415.42 = 144,564.55/x
  3. Step 3: Cross multiply
    523,620.72x = 785,415.42 × 144,564.55
  4. Step 4: Simplify right side
    523,620.72x = 113,543,224,791.82
  5. Step 5: Solve for x
    x = 113,543,224,791.82/523,620.72
  6. Step 6: Final answer
    x = 216,842.50

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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.