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Finding the Fourth Proportional to 286,009.87, 394,718.13 and 156,973.28

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Solution

The fourth proportional to 286,009.87, 394,718.13 and 156,973.28 is: 216,636.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,009.87 : 394,718.13 = 156,973.28 : x
  2. Step 2: Convert to fraction form
    286,009.87/394,718.13 = 156,973.28/x
  3. Step 3: Cross multiply
    286,009.87x = 394,718.13 × 156,973.28
  4. Step 4: Simplify right side
    286,009.87x = 61,960,199,541.57
  5. Step 5: Solve for x
    x = 61,960,199,541.57/286,009.87
  6. Step 6: Final answer
    x = 216,636.58

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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.