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Finding the Fourth Proportional to 430,967.69, 646,230.09 and 231,455.88

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Solution

The fourth proportional to 430,967.69, 646,230.09 and 231,455.88 is: 347,064.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,967.69 : 646,230.09 = 231,455.88 : x
  2. Step 2: Convert to fraction form
    430,967.69/646,230.09 = 231,455.88/x
  3. Step 3: Cross multiply
    430,967.69x = 646,230.09 × 231,455.88
  4. Step 4: Simplify right side
    430,967.69x = 149,573,755,031.39
  5. Step 5: Solve for x
    x = 149,573,755,031.39/430,967.69
  6. Step 6: Final answer
    x = 347,064.89

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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.