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Finding the Fourth Proportional to 289,559.40, 434,393.64 and 109,698.69

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Solution

The fourth proportional to 289,559.40, 434,393.64 and 109,698.69 is: 164,568.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,559.40 : 434,393.64 = 109,698.69 : x
  2. Step 2: Convert to fraction form
    289,559.40/434,393.64 = 109,698.69/x
  3. Step 3: Cross multiply
    289,559.40x = 434,393.64 × 109,698.69
  4. Step 4: Simplify right side
    289,559.40x = 47,652,413,252.33
  5. Step 5: Solve for x
    x = 47,652,413,252.33/289,559.40
  6. Step 6: Final answer
    x = 164,568.70

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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.