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Finding the Fourth Proportional to 315,297.84, 472,933.53 and 146,760.21

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Solution

The fourth proportional to 315,297.84, 472,933.53 and 146,760.21 is: 220,134.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,297.84 : 472,933.53 = 146,760.21 : x
  2. Step 2: Convert to fraction form
    315,297.84/472,933.53 = 146,760.21/x
  3. Step 3: Cross multiply
    315,297.84x = 472,933.53 × 146,760.21
  4. Step 4: Simplify right side
    315,297.84x = 69,407,824,178.84
  5. Step 5: Solve for x
    x = 69,407,824,178.84/315,297.84
  6. Step 6: Final answer
    x = 220,134.16

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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.