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Finding the Fourth Proportional to 287,958.10, 431,907.96 and 77,617.30

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Solution

The fourth proportional to 287,958.10, 431,907.96 and 77,617.30 is: 116,418.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,958.10 : 431,907.96 = 77,617.30 : x
  2. Step 2: Convert to fraction form
    287,958.10/431,907.96 = 77,617.30/x
  3. Step 3: Cross multiply
    287,958.10x = 431,907.96 × 77,617.30
  4. Step 4: Simplify right side
    287,958.10x = 33,523,529,703.71
  5. Step 5: Solve for x
    x = 33,523,529,703.71/287,958.10
  6. Step 6: Final answer
    x = 116,418.08

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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.