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Finding the Fourth Proportional to 287,490, 396,701.80 and 164,976.08

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Solution

The fourth proportional to 287,490, 396,701.80 and 164,976.08 is: 227,647.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,490 : 396,701.80 = 164,976.08 : x
  2. Step 2: Convert to fraction form
    287,490/396,701.80 = 164,976.08/x
  3. Step 3: Cross multiply
    287,490x = 396,701.80 × 164,976.08
  4. Step 4: Simplify right side
    287,490x = 65,446,307,892.94
  5. Step 5: Solve for x
    x = 65,446,307,892.94/287,490
  6. Step 6: Final answer
    x = 227,647.25

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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.