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Finding the Fourth Proportional to 286,007.87, 394,689.77 and 156,948.48

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Solution

The fourth proportional to 286,007.87, 394,689.77 and 156,948.48 is: 216,588.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,007.87 : 394,689.77 = 156,948.48 : x
  2. Step 2: Convert to fraction form
    286,007.87/394,689.77 = 156,948.48/x
  3. Step 3: Cross multiply
    286,007.87x = 394,689.77 × 156,948.48
  4. Step 4: Simplify right side
    286,007.87x = 61,945,958,688.31
  5. Step 5: Solve for x
    x = 61,945,958,688.31/286,007.87
  6. Step 6: Final answer
    x = 216,588.30

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1.5x scale

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.