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Finding the Fourth Proportional to 298,285.61, 411,642.79 and 162,328.32

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Solution

The fourth proportional to 298,285.61, 411,642.79 and 162,328.32 is: 224,017.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,285.61 : 411,642.79 = 162,328.32 : x
  2. Step 2: Convert to fraction form
    298,285.61/411,642.79 = 162,328.32/x
  3. Step 3: Cross multiply
    298,285.61x = 411,642.79 × 162,328.32
  4. Step 4: Simplify right side
    298,285.61x = 66,821,283,975.74
  5. Step 5: Solve for x
    x = 66,821,283,975.74/298,285.61
  6. Step 6: Final answer
    x = 224,017.79

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1.5x scale

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.