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Finding the Fourth Proportional to 288,070.60, 431,738.70 and 161,710.60

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Solution

The fourth proportional to 288,070.60, 431,738.70 and 161,710.60 is: 242,359.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,070.60 : 431,738.70 = 161,710.60 : x
  2. Step 2: Convert to fraction form
    288,070.60/431,738.70 = 161,710.60/x
  3. Step 3: Cross multiply
    288,070.60x = 431,738.70 × 161,710.60
  4. Step 4: Simplify right side
    288,070.60x = 69,816,724,220.22
  5. Step 5: Solve for x
    x = 69,816,724,220.22/288,070.60
  6. Step 6: Final answer
    x = 242,359.77

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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.