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Finding the Fourth Proportional to 289,316.76, 433,971.09 and 282,169.32

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Solution

The fourth proportional to 289,316.76, 433,971.09 and 282,169.32 is: 423,250.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,316.76 : 433,971.09 = 282,169.32 : x
  2. Step 2: Convert to fraction form
    289,316.76/433,971.09 = 282,169.32/x
  3. Step 3: Cross multiply
    289,316.76x = 433,971.09 × 282,169.32
  4. Step 4: Simplify right side
    289,316.76x = 122,453,327,364.96
  5. Step 5: Solve for x
    x = 122,453,327,364.96/289,316.76
  6. Step 6: Final answer
    x = 423,250.03

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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.