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Finding the Fourth Proportional to 357,048, 492,726.24 and 198,072

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Solution

The fourth proportional to 357,048, 492,726.24 and 198,072 is: 273,339.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,048 : 492,726.24 = 198,072 : x
  2. Step 2: Convert to fraction form
    357,048/492,726.24 = 198,072/x
  3. Step 3: Cross multiply
    357,048x = 492,726.24 × 198,072
  4. Step 4: Simplify right side
    357,048x = 97,595,271,809.28
  5. Step 5: Solve for x
    x = 97,595,271,809.28/357,048
  6. Step 6: Final answer
    x = 273,339.36

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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.