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Finding the Fourth Proportional to 312,307.78, 430,984.64 and 169,067.72

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Solution

The fourth proportional to 312,307.78, 430,984.64 and 169,067.72 is: 233,313.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,307.78 : 430,984.64 = 169,067.72 : x
  2. Step 2: Convert to fraction form
    312,307.78/430,984.64 = 169,067.72/x
  3. Step 3: Cross multiply
    312,307.78x = 430,984.64 × 169,067.72
  4. Step 4: Simplify right side
    312,307.78x = 72,865,588,707.57
  5. Step 5: Solve for x
    x = 72,865,588,707.57/312,307.78
  6. Step 6: Final answer
    x = 233,313.40

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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.