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Finding the Fourth Proportional to 289,012.32, 433,352.16 and 111,369.60

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Solution

The fourth proportional to 289,012.32, 433,352.16 and 111,369.60 is: 166,990.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,012.32 : 433,352.16 = 111,369.60 : x
  2. Step 2: Convert to fraction form
    289,012.32/433,352.16 = 111,369.60/x
  3. Step 3: Cross multiply
    289,012.32x = 433,352.16 × 111,369.60
  4. Step 4: Simplify right side
    289,012.32x = 48,262,256,718.34
  5. Step 5: Solve for x
    x = 48,262,256,718.34/289,012.32
  6. Step 6: Final answer
    x = 166,990.31

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1.5x scale

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.