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Finding the Fourth Proportional to 290,556.78, 435,876.75 and 140,674.02

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Solution

The fourth proportional to 290,556.78, 435,876.75 and 140,674.02 is: 211,031.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,556.78 : 435,876.75 = 140,674.02 : x
  2. Step 2: Convert to fraction form
    290,556.78/435,876.75 = 140,674.02/x
  3. Step 3: Cross multiply
    290,556.78x = 435,876.75 × 140,674.02
  4. Step 4: Simplify right side
    290,556.78x = 61,316,534,647.04
  5. Step 5: Solve for x
    x = 61,316,534,647.04/290,556.78
  6. Step 6: Final answer
    x = 211,031.16

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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.