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Finding the Fourth Proportional to 210,404.16, 290,359.59 and 119,765.96

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Solution

The fourth proportional to 210,404.16, 290,359.59 and 119,765.96 is: 165,278.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,404.16 : 290,359.59 = 119,765.96 : x
  2. Step 2: Convert to fraction form
    210,404.16/290,359.59 = 119,765.96/x
  3. Step 3: Cross multiply
    210,404.16x = 290,359.59 × 119,765.96
  4. Step 4: Simplify right side
    210,404.16x = 34,775,195,415.83
  5. Step 5: Solve for x
    x = 34,775,195,415.83/210,404.16
  6. Step 6: Final answer
    x = 165,278.08

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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.