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Finding the Fourth Proportional to 298,392.86, 411,787.40 and 162,430.71

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Solution

The fourth proportional to 298,392.86, 411,787.40 and 162,430.71 is: 224,157.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,392.86 : 411,787.40 = 162,430.71 : x
  2. Step 2: Convert to fraction form
    298,392.86/411,787.40 = 162,430.71/x
  3. Step 3: Cross multiply
    298,392.86x = 411,787.40 × 162,430.71
  4. Step 4: Simplify right side
    298,392.86x = 66,886,918,938.90
  5. Step 5: Solve for x
    x = 66,886,918,938.90/298,392.86
  6. Step 6: Final answer
    x = 224,157.24

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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.