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Finding the Fourth Proportional to 298,389.90, 411,783.31 and 162,427.75

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Solution

The fourth proportional to 298,389.90, 411,783.31 and 162,427.75 is: 224,153.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,389.90 : 411,783.31 = 162,427.75 : x
  2. Step 2: Convert to fraction form
    298,389.90/411,783.31 = 162,427.75/x
  3. Step 3: Cross multiply
    298,389.90x = 411,783.31 × 162,427.75
  4. Step 4: Simplify right side
    298,389.90x = 66,885,037,248.62
  5. Step 5: Solve for x
    x = 66,885,037,248.62/298,389.90
  6. Step 6: Final answer
    x = 224,153.16

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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.