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Finding the Fourth Proportional to 290,676.49, 435,571.86 and 148,516.02

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Solution

The fourth proportional to 290,676.49, 435,571.86 and 148,516.02 is: 222,547.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,676.49 : 435,571.86 = 148,516.02 : x
  2. Step 2: Convert to fraction form
    290,676.49/435,571.86 = 148,516.02/x
  3. Step 3: Cross multiply
    290,676.49x = 435,571.86 × 148,516.02
  4. Step 4: Simplify right side
    290,676.49x = 64,689,399,071.20
  5. Step 5: Solve for x
    x = 64,689,399,071.20/290,676.49
  6. Step 6: Final answer
    x = 222,547.75

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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.