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Finding the Fourth Proportional to 287,465.63, 396,490.05 and 210,958.88

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Solution

The fourth proportional to 287,465.63, 396,490.05 and 210,958.88 is: 290,967.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,465.63 : 396,490.05 = 210,958.88 : x
  2. Step 2: Convert to fraction form
    287,465.63/396,490.05 = 210,958.88/x
  3. Step 3: Cross multiply
    287,465.63x = 396,490.05 × 210,958.88
  4. Step 4: Simplify right side
    287,465.63x = 83,643,094,896.69
  5. Step 5: Solve for x
    x = 83,643,094,896.69/287,465.63
  6. Step 6: Final answer
    x = 290,967.29

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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.