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Finding the Fourth Proportional to 328,698.54, 493,075.93 and 115,447.90

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Solution

The fourth proportional to 328,698.54, 493,075.93 and 115,447.90 is: 173,181.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,698.54 : 493,075.93 = 115,447.90 : x
  2. Step 2: Convert to fraction form
    328,698.54/493,075.93 = 115,447.90/x
  3. Step 3: Cross multiply
    328,698.54x = 493,075.93 × 115,447.90
  4. Step 4: Simplify right side
    328,698.54x = 56,924,578,523.25
  5. Step 5: Solve for x
    x = 56,924,578,523.25/328,698.54
  6. Step 6: Final answer
    x = 173,181.72

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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.