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Finding the Fourth Proportional to 339,804.64, 509,018.51 and 157,175.89

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Solution

The fourth proportional to 339,804.64, 509,018.51 and 157,175.89 is: 235,445.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,804.64 : 509,018.51 = 157,175.89 : x
  2. Step 2: Convert to fraction form
    339,804.64/509,018.51 = 157,175.89/x
  3. Step 3: Cross multiply
    339,804.64x = 509,018.51 × 157,175.89
  4. Step 4: Simplify right side
    339,804.64x = 80,005,435,572.00
  5. Step 5: Solve for x
    x = 80,005,435,572.00/339,804.64
  6. Step 6: Final answer
    x = 235,445.39

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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.