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Finding the Fourth Proportional to 253,032, 349,184.16 and 152,450.88

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Solution

The fourth proportional to 253,032, 349,184.16 and 152,450.88 is: 210,382.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,032 : 349,184.16 = 152,450.88 : x
  2. Step 2: Convert to fraction form
    253,032/349,184.16 = 152,450.88/x
  3. Step 3: Cross multiply
    253,032x = 349,184.16 × 152,450.88
  4. Step 4: Simplify right side
    253,032x = 53,233,432,474.06
  5. Step 5: Solve for x
    x = 53,233,432,474.06/253,032
  6. Step 6: Final answer
    x = 210,382.21

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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.