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Finding the Fourth Proportional to 287,762.63, 397,109.28 and 165,275.03

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Solution

The fourth proportional to 287,762.63, 397,109.28 and 165,275.03 is: 228,077.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,762.63 : 397,109.28 = 165,275.03 : x
  2. Step 2: Convert to fraction form
    287,762.63/397,109.28 = 165,275.03/x
  3. Step 3: Cross multiply
    287,762.63x = 397,109.28 × 165,275.03
  4. Step 4: Simplify right side
    287,762.63x = 65,632,249,777.83
  5. Step 5: Solve for x
    x = 65,632,249,777.83/287,762.63
  6. Step 6: Final answer
    x = 228,077.74

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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.