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Finding the Fourth Proportional to 430,907.42, 646,404.87 and 164,891.68

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Solution

The fourth proportional to 430,907.42, 646,404.87 and 164,891.68 is: 247,354.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,907.42 : 646,404.87 = 164,891.68 : x
  2. Step 2: Convert to fraction form
    430,907.42/646,404.87 = 164,891.68/x
  3. Step 3: Cross multiply
    430,907.42x = 646,404.87 × 164,891.68
  4. Step 4: Simplify right side
    430,907.42x = 106,586,783,976.81
  5. Step 5: Solve for x
    x = 106,586,783,976.81/430,907.42
  6. Step 6: Final answer
    x = 247,354.25

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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.