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Finding the Fourth Proportional to 315,107.46, 472,871.39 and 163,444.32

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Solution

The fourth proportional to 315,107.46, 472,871.39 and 163,444.32 is: 245,275.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,107.46 : 472,871.39 = 163,444.32 : x
  2. Step 2: Convert to fraction form
    315,107.46/472,871.39 = 163,444.32/x
  3. Step 3: Cross multiply
    315,107.46x = 472,871.39 × 163,444.32
  4. Step 4: Simplify right side
    315,107.46x = 77,288,141,968.78
  5. Step 5: Solve for x
    x = 77,288,141,968.78/315,107.46
  6. Step 6: Final answer
    x = 245,275.51

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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.