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Finding the Fourth Proportional to 356,907.29, 492,530.74 and 220,914.16

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Solution

The fourth proportional to 356,907.29, 492,530.74 and 220,914.16 is: 304,860.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,907.29 : 492,530.74 = 220,914.16 : x
  2. Step 2: Convert to fraction form
    356,907.29/492,530.74 = 220,914.16/x
  3. Step 3: Cross multiply
    356,907.29x = 492,530.74 × 220,914.16
  4. Step 4: Simplify right side
    356,907.29x = 108,807,012,238.63
  5. Step 5: Solve for x
    x = 108,807,012,238.63/356,907.29
  6. Step 6: Final answer
    x = 304,860.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.