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Finding the Fourth Proportional to 288,086.60, 431,762.70 and 161,726.60

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Solution

The fourth proportional to 288,086.60, 431,762.70 and 161,726.60 is: 242,383.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,086.60 : 431,762.70 = 161,726.60 : x
  2. Step 2: Convert to fraction form
    288,086.60/431,762.70 = 161,726.60/x
  3. Step 3: Cross multiply
    288,086.60x = 431,762.70 × 161,726.60
  4. Step 4: Simplify right side
    288,086.60x = 69,827,513,477.82
  5. Step 5: Solve for x
    x = 69,827,513,477.82/288,086.60
  6. Step 6: Final answer
    x = 242,383.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.