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Finding the Fourth Proportional to 210,907.20, 316,015.20 and 179,803.20

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Solution

The fourth proportional to 210,907.20, 316,015.20 and 179,803.20 is: 269,410.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,907.20 : 316,015.20 = 179,803.20 : x
  2. Step 2: Convert to fraction form
    210,907.20/316,015.20 = 179,803.20/x
  3. Step 3: Cross multiply
    210,907.20x = 316,015.20 × 179,803.20
  4. Step 4: Simplify right side
    210,907.20x = 56,820,544,208.64
  5. Step 5: Solve for x
    x = 56,820,544,208.64/210,907.20
  6. Step 6: Final answer
    x = 269,410.17

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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.