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Finding the Fourth Proportional to 286,096.48, 394,813.76 and 158,772.32

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Solution

The fourth proportional to 286,096.48, 394,813.76 and 158,772.32 is: 219,106.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,096.48 : 394,813.76 = 158,772.32 : x
  2. Step 2: Convert to fraction form
    286,096.48/394,813.76 = 158,772.32/x
  3. Step 3: Cross multiply
    286,096.48x = 394,813.76 × 158,772.32
  4. Step 4: Simplify right side
    286,096.48x = 62,685,496,643.12
  5. Step 5: Solve for x
    x = 62,685,496,643.12/286,096.48
  6. Step 6: Final answer
    x = 219,106.14

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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.