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Finding the Fourth Proportional to 287,266.02, 396,411.92 and 164,752.08

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Solution

The fourth proportional to 287,266.02, 396,411.92 and 164,752.08 is: 227,349.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,266.02 : 396,411.92 = 164,752.08 : x
  2. Step 2: Convert to fraction form
    287,266.02/396,411.92 = 164,752.08/x
  3. Step 3: Cross multiply
    287,266.02x = 396,411.92 × 164,752.08
  4. Step 4: Simplify right side
    287,266.02x = 65,309,687,533.03
  5. Step 5: Solve for x
    x = 65,309,687,533.03/287,266.02
  6. Step 6: Final answer
    x = 227,349.16

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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.