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Finding the Fourth Proportional to 305,079.77, 457,623.54 and 210,284.51

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Solution

The fourth proportional to 305,079.77, 457,623.54 and 210,284.51 is: 315,429.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,079.77 : 457,623.54 = 210,284.51 : x
  2. Step 2: Convert to fraction form
    305,079.77/457,623.54 = 210,284.51/x
  3. Step 3: Cross multiply
    305,079.77x = 457,623.54 × 210,284.51
  4. Step 4: Simplify right side
    305,079.77x = 96,231,139,585.25
  5. Step 5: Solve for x
    x = 96,231,139,585.25/305,079.77
  6. Step 6: Final answer
    x = 315,429.44

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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.