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Finding the Fourth Proportional to 270,042.40, 405,073.32 and 101,547.28

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Solution

The fourth proportional to 270,042.40, 405,073.32 and 101,547.28 is: 152,324.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,042.40 : 405,073.32 = 101,547.28 : x
  2. Step 2: Convert to fraction form
    270,042.40/405,073.32 = 101,547.28/x
  3. Step 3: Cross multiply
    270,042.40x = 405,073.32 × 101,547.28
  4. Step 4: Simplify right side
    270,042.40x = 41,134,093,846.57
  5. Step 5: Solve for x
    x = 41,134,093,846.57/270,042.40
  6. Step 6: Final answer
    x = 152,324.58

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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.