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Finding the Fourth Proportional to 353,301.75, 529,642.40 and 140,220.05

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Solution

The fourth proportional to 353,301.75, 529,642.40 and 140,220.05 is: 210,206.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,301.75 : 529,642.40 = 140,220.05 : x
  2. Step 2: Convert to fraction form
    353,301.75/529,642.40 = 140,220.05/x
  3. Step 3: Cross multiply
    353,301.75x = 529,642.40 × 140,220.05
  4. Step 4: Simplify right side
    353,301.75x = 74,266,480,460.81
  5. Step 5: Solve for x
    x = 74,266,480,460.81/353,301.75
  6. Step 6: Final answer
    x = 210,206.94

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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.