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Finding the Fourth Proportional to 289,054.50, 433,756.74 and 122,842.50

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Solution

The fourth proportional to 289,054.50, 433,756.74 and 122,842.50 is: 184,338.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,054.50 : 433,756.74 = 122,842.50 : x
  2. Step 2: Convert to fraction form
    289,054.50/433,756.74 = 122,842.50/x
  3. Step 3: Cross multiply
    289,054.50x = 433,756.74 × 122,842.50
  4. Step 4: Simplify right side
    289,054.50x = 53,283,762,333.45
  5. Step 5: Solve for x
    x = 53,283,762,333.45/289,054.50
  6. Step 6: Final answer
    x = 184,338.12

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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.