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Finding the Fourth Proportional to 210,494.58, 290,442.94 and 119,845.05

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Solution

The fourth proportional to 210,494.58, 290,442.94 and 119,845.05 is: 165,363.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,494.58 : 290,442.94 = 119,845.05 : x
  2. Step 2: Convert to fraction form
    210,494.58/290,442.94 = 119,845.05/x
  3. Step 3: Cross multiply
    210,494.58x = 290,442.94 × 119,845.05
  4. Step 4: Simplify right side
    210,494.58x = 34,808,148,666.45
  5. Step 5: Solve for x
    x = 34,808,148,666.45/210,494.58
  6. Step 6: Final answer
    x = 165,363.63

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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.