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Finding the Fourth Proportional to 312,009.80, 430,536.48 and 176,035.82

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Solution

The fourth proportional to 312,009.80, 430,536.48 and 176,035.82 is: 242,908.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,009.80 : 430,536.48 = 176,035.82 : x
  2. Step 2: Convert to fraction form
    312,009.80/430,536.48 = 176,035.82/x
  3. Step 3: Cross multiply
    312,009.80x = 430,536.48 × 176,035.82
  4. Step 4: Simplify right side
    312,009.80x = 75,789,842,296.71
  5. Step 5: Solve for x
    x = 75,789,842,296.71/312,009.80
  6. Step 6: Final answer
    x = 242,908.53

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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.