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Finding the Fourth Proportional to 401,782.86, 602,674.25 and 313,102.71

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Solution

The fourth proportional to 401,782.86, 602,674.25 and 313,102.71 is: 469,654.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,782.86 : 602,674.25 = 313,102.71 : x
  2. Step 2: Convert to fraction form
    401,782.86/602,674.25 = 313,102.71/x
  3. Step 3: Cross multiply
    401,782.86x = 602,674.25 × 313,102.71
  4. Step 4: Simplify right side
    401,782.86x = 188,698,939,356.70
  5. Step 5: Solve for x
    x = 188,698,939,356.70/401,782.86
  6. Step 6: Final answer
    x = 469,654.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.