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Finding the Fourth Proportional to 289,353.26, 399,303.15 and 160,291.33

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Solution

The fourth proportional to 289,353.26, 399,303.15 and 160,291.33 is: 221,199.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,353.26 : 399,303.15 = 160,291.33 : x
  2. Step 2: Convert to fraction form
    289,353.26/399,303.15 = 160,291.33/x
  3. Step 3: Cross multiply
    289,353.26x = 399,303.15 × 160,291.33
  4. Step 4: Simplify right side
    289,353.26x = 64,004,832,986.69
  5. Step 5: Solve for x
    x = 64,004,832,986.69/289,353.26
  6. Step 6: Final answer
    x = 221,199.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.