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Finding the Fourth Proportional to 289,359.84, 434,039.81 and 120,788.22

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Solution

The fourth proportional to 289,359.84, 434,039.81 and 120,788.22 is: 181,182.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,359.84 : 434,039.81 = 120,788.22 : x
  2. Step 2: Convert to fraction form
    289,359.84/434,039.81 = 120,788.22/x
  3. Step 3: Cross multiply
    289,359.84x = 434,039.81 × 120,788.22
  4. Step 4: Simplify right side
    289,359.84x = 52,426,893,284.90
  5. Step 5: Solve for x
    x = 52,426,893,284.90/289,359.84
  6. Step 6: Final answer
    x = 181,182.34

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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.