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Finding the Fourth Proportional to 464,421.22, 640,629.11 and 292,065.81

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Solution

The fourth proportional to 464,421.22, 640,629.11 and 292,065.81 is: 402,879.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,421.22 : 640,629.11 = 292,065.81 : x
  2. Step 2: Convert to fraction form
    464,421.22/640,629.11 = 292,065.81/x
  3. Step 3: Cross multiply
    464,421.22x = 640,629.11 × 292,065.81
  4. Step 4: Simplify right side
    464,421.22x = 187,105,855,258.26
  5. Step 5: Solve for x
    x = 187,105,855,258.26/464,421.22
  6. Step 6: Final answer
    x = 402,879.64

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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.