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Finding the Fourth Proportional to 291,346.20, 437,019.30 and 198,034.20

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Solution

The fourth proportional to 291,346.20, 437,019.30 and 198,034.20 is: 297,051.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,346.20 : 437,019.30 = 198,034.20 : x
  2. Step 2: Convert to fraction form
    291,346.20/437,019.30 = 198,034.20/x
  3. Step 3: Cross multiply
    291,346.20x = 437,019.30 × 198,034.20
  4. Step 4: Simplify right side
    291,346.20x = 86,544,767,460.06
  5. Step 5: Solve for x
    x = 86,544,767,460.06/291,346.20
  6. Step 6: Final answer
    x = 297,051.30

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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.