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Finding the Fourth Proportional to 298,158.39, 411,470.15 and 170,859.20

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Solution

The fourth proportional to 298,158.39, 411,470.15 and 170,859.20 is: 235,792.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,158.39 : 411,470.15 = 170,859.20 : x
  2. Step 2: Convert to fraction form
    298,158.39/411,470.15 = 170,859.20/x
  3. Step 3: Cross multiply
    298,158.39x = 411,470.15 × 170,859.20
  4. Step 4: Simplify right side
    298,158.39x = 70,303,457,741.23
  5. Step 5: Solve for x
    x = 70,303,457,741.23/298,158.39
  6. Step 6: Final answer
    x = 235,792.32

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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.