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Finding the Fourth Proportional to 287,360.40, 396,541.76 and 158,273.75

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Solution

The fourth proportional to 287,360.40, 396,541.76 and 158,273.75 is: 218,409.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,360.40 : 396,541.76 = 158,273.75 : x
  2. Step 2: Convert to fraction form
    287,360.40/396,541.76 = 158,273.75/x
  3. Step 3: Cross multiply
    287,360.40x = 396,541.76 × 158,273.75
  4. Step 4: Simplify right side
    287,360.40x = 62,762,151,386.80
  5. Step 5: Solve for x
    x = 62,762,151,386.80/287,360.40
  6. Step 6: Final answer
    x = 218,409.19

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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.