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Finding the Fourth Proportional to 289,352.36, 434,309.10 and 139,698.20

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Solution

The fourth proportional to 289,352.36, 434,309.10 and 139,698.20 is: 209,682.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,352.36 : 434,309.10 = 139,698.20 : x
  2. Step 2: Convert to fraction form
    289,352.36/434,309.10 = 139,698.20/x
  3. Step 3: Cross multiply
    289,352.36x = 434,309.10 × 139,698.20
  4. Step 4: Simplify right side
    289,352.36x = 60,672,199,513.62
  5. Step 5: Solve for x
    x = 60,672,199,513.62/289,352.36
  6. Step 6: Final answer
    x = 209,682.75

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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.