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Finding the Fourth Proportional to 290,048.07, 435,083.89 and 138,167.06

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Solution

The fourth proportional to 290,048.07, 435,083.89 and 138,167.06 is: 207,256.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,048.07 : 435,083.89 = 138,167.06 : x
  2. Step 2: Convert to fraction form
    290,048.07/435,083.89 = 138,167.06/x
  3. Step 3: Cross multiply
    290,048.07x = 435,083.89 × 138,167.06
  4. Step 4: Simplify right side
    290,048.07x = 60,114,262,676.96
  5. Step 5: Solve for x
    x = 60,114,262,676.96/290,048.07
  6. Step 6: Final answer
    x = 207,256.21

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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.