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Finding the Fourth Proportional to 298,387.56, 411,783.46 and 162,430.32

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Solution

The fourth proportional to 298,387.56, 411,783.46 and 162,430.32 is: 224,158.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,387.56 : 411,783.46 = 162,430.32 : x
  2. Step 2: Convert to fraction form
    298,387.56/411,783.46 = 162,430.32/x
  3. Step 3: Cross multiply
    298,387.56x = 411,783.46 × 162,430.32
  4. Step 4: Simplify right side
    298,387.56x = 66,886,119,178.51
  5. Step 5: Solve for x
    x = 66,886,119,178.51/298,387.56
  6. Step 6: Final answer
    x = 224,158.54

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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.