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Finding the Fourth Proportional to 254,697.51, 381,547.01 and 147,857.37

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Solution

The fourth proportional to 254,697.51, 381,547.01 and 147,857.37 is: 221,496.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,697.51 : 381,547.01 = 147,857.37 : x
  2. Step 2: Convert to fraction form
    254,697.51/381,547.01 = 147,857.37/x
  3. Step 3: Cross multiply
    254,697.51x = 381,547.01 × 147,857.37
  4. Step 4: Simplify right side
    254,697.51x = 56,414,536,690.68
  5. Step 5: Solve for x
    x = 56,414,536,690.68/254,697.51
  6. Step 6: Final answer
    x = 221,496.22

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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.