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Finding the Fourth Proportional to 501,883.56, 692,601.84 and 287,032.68

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Solution

The fourth proportional to 501,883.56, 692,601.84 and 287,032.68 is: 396,106.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,883.56 : 692,601.84 = 287,032.68 : x
  2. Step 2: Convert to fraction form
    501,883.56/692,601.84 = 287,032.68/x
  3. Step 3: Cross multiply
    501,883.56x = 692,601.84 × 287,032.68
  4. Step 4: Simplify right side
    501,883.56x = 198,799,362,308.13
  5. Step 5: Solve for x
    x = 198,799,362,308.13/501,883.56
  6. Step 6: Final answer
    x = 396,106.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.