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Finding the Fourth Proportional to 286,032.78, 428,749.77 and 96,427.62

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Solution

The fourth proportional to 286,032.78, 428,749.77 and 96,427.62 is: 144,540.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,032.78 : 428,749.77 = 96,427.62 : x
  2. Step 2: Convert to fraction form
    286,032.78/428,749.77 = 96,427.62/x
  3. Step 3: Cross multiply
    286,032.78x = 428,749.77 × 96,427.62
  4. Step 4: Simplify right side
    286,032.78x = 41,343,319,896.65
  5. Step 5: Solve for x
    x = 41,343,319,896.65/286,032.78
  6. Step 6: Final answer
    x = 144,540.50

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1.5x scale

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.