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Finding the Fourth Proportional to 286,970.98, 396,019.65 and 159,643.84

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Solution

The fourth proportional to 286,970.98, 396,019.65 and 159,643.84 is: 220,308.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,970.98 : 396,019.65 = 159,643.84 : x
  2. Step 2: Convert to fraction form
    286,970.98/396,019.65 = 159,643.84/x
  3. Step 3: Cross multiply
    286,970.98x = 396,019.65 × 159,643.84
  4. Step 4: Simplify right side
    286,970.98x = 63,222,097,641.46
  5. Step 5: Solve for x
    x = 63,222,097,641.46/286,970.98
  6. Step 6: Final answer
    x = 220,308.33

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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.