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Finding the Fourth Proportional to 287,783.54, 431,974.72 and 211,967.68

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Solution

The fourth proportional to 287,783.54, 431,974.72 and 211,967.68 is: 318,172.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,783.54 : 431,974.72 = 211,967.68 : x
  2. Step 2: Convert to fraction form
    287,783.54/431,974.72 = 211,967.68/x
  3. Step 3: Cross multiply
    287,783.54x = 431,974.72 × 211,967.68
  4. Step 4: Simplify right side
    287,783.54x = 91,564,679,237.15
  5. Step 5: Solve for x
    x = 91,564,679,237.15/287,783.54
  6. Step 6: Final answer
    x = 318,172.06

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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.