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Finding the Fourth Proportional to 253,384.80, 349,708.12 and 145,933.92

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Solution

The fourth proportional to 253,384.80, 349,708.12 and 145,933.92 is: 201,410.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,384.80 : 349,708.12 = 145,933.92 : x
  2. Step 2: Convert to fraction form
    253,384.80/349,708.12 = 145,933.92/x
  3. Step 3: Cross multiply
    253,384.80x = 349,708.12 × 145,933.92
  4. Step 4: Simplify right side
    253,384.80x = 51,034,276,807.43
  5. Step 5: Solve for x
    x = 51,034,276,807.43/253,384.80
  6. Step 6: Final answer
    x = 201,410.17

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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.