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Finding the Fourth Proportional to 290,662.02, 433,449.36 and 288,004.68

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Solution

The fourth proportional to 290,662.02, 433,449.36 and 288,004.68 is: 429,486.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,662.02 : 433,449.36 = 288,004.68 : x
  2. Step 2: Convert to fraction form
    290,662.02/433,449.36 = 288,004.68/x
  3. Step 3: Cross multiply
    290,662.02x = 433,449.36 × 288,004.68
  4. Step 4: Simplify right side
    290,662.02x = 124,835,444,223.01
  5. Step 5: Solve for x
    x = 124,835,444,223.01/290,662.02
  6. Step 6: Final answer
    x = 429,486.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.