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Finding the Fourth Proportional to 298,011.86, 411,256.86 and 162,045.68

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Solution

The fourth proportional to 298,011.86, 411,256.86 and 162,045.68 is: 223,623.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,011.86 : 411,256.86 = 162,045.68 : x
  2. Step 2: Convert to fraction form
    298,011.86/411,256.86 = 162,045.68/x
  3. Step 3: Cross multiply
    298,011.86x = 411,256.86 × 162,045.68
  4. Step 4: Simplify right side
    298,011.86x = 66,642,397,533.36
  5. Step 5: Solve for x
    x = 66,642,397,533.36/298,011.86
  6. Step 6: Final answer
    x = 223,623.31

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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.