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Finding the Fourth Proportional to 523,623.78, 785,419.97 and 144,567.65

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Solution

The fourth proportional to 523,623.78, 785,419.97 and 144,567.65 is: 216,847.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,623.78 : 785,419.97 = 144,567.65 : x
  2. Step 2: Convert to fraction form
    523,623.78/785,419.97 = 144,567.65/x
  3. Step 3: Cross multiply
    523,623.78x = 785,419.97 × 144,567.65
  4. Step 4: Simplify right side
    523,623.78x = 113,546,319,325.97
  5. Step 5: Solve for x
    x = 113,546,319,325.97/523,623.78
  6. Step 6: Final answer
    x = 216,847.14

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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.