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Finding the Fourth Proportional to 430,287.26, 645,433.52 and 149,804.51

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Solution

The fourth proportional to 430,287.26, 645,433.52 and 149,804.51 is: 224,707.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,287.26 : 645,433.52 = 149,804.51 : x
  2. Step 2: Convert to fraction form
    430,287.26/645,433.52 = 149,804.51/x
  3. Step 3: Cross multiply
    430,287.26x = 645,433.52 × 149,804.51
  4. Step 4: Simplify right side
    430,287.26x = 96,688,848,224.99
  5. Step 5: Solve for x
    x = 96,688,848,224.99/430,287.26
  6. Step 6: Final answer
    x = 224,707.67

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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.