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Finding the Fourth Proportional to 290,083.07, 400,321.54 and 162,768.08

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Solution

The fourth proportional to 290,083.07, 400,321.54 and 162,768.08 is: 224,623.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,083.07 : 400,321.54 = 162,768.08 : x
  2. Step 2: Convert to fraction form
    290,083.07/400,321.54 = 162,768.08/x
  3. Step 3: Cross multiply
    290,083.07x = 400,321.54 × 162,768.08
  4. Step 4: Simplify right side
    290,083.07x = 65,159,569,652.71
  5. Step 5: Solve for x
    x = 65,159,569,652.71/290,083.07
  6. Step 6: Final answer
    x = 224,623.83

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1.5x scale

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.