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Finding the Fourth Proportional to 298,992.98, 412,710.29 and 178,172.16

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Solution

The fourth proportional to 298,992.98, 412,710.29 and 178,172.16 is: 245,937.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,992.98 : 412,710.29 = 178,172.16 : x
  2. Step 2: Convert to fraction form
    298,992.98/412,710.29 = 178,172.16/x
  3. Step 3: Cross multiply
    298,992.98x = 412,710.29 × 178,172.16
  4. Step 4: Simplify right side
    298,992.98x = 73,533,482,932.67
  5. Step 5: Solve for x
    x = 73,533,482,932.67/298,992.98
  6. Step 6: Final answer
    x = 245,937.16

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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.