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Finding the Fourth Proportional to 430,929, 646,463.56 and 127,353.96

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Solution

The fourth proportional to 430,929, 646,463.56 and 127,353.96 is: 191,051.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,929 : 646,463.56 = 127,353.96 : x
  2. Step 2: Convert to fraction form
    430,929/646,463.56 = 127,353.96/x
  3. Step 3: Cross multiply
    430,929x = 646,463.56 × 127,353.96
  4. Step 4: Simplify right side
    430,929x = 82,329,694,361.70
  5. Step 5: Solve for x
    x = 82,329,694,361.70/430,929
  6. Step 6: Final answer
    x = 191,051.65

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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.