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Finding the Fourth Proportional to 298,095.77, 411,374.09 and 162,130.70

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Solution

The fourth proportional to 298,095.77, 411,374.09 and 162,130.70 is: 223,741.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,095.77 : 411,374.09 = 162,130.70 : x
  2. Step 2: Convert to fraction form
    298,095.77/411,374.09 = 162,130.70/x
  3. Step 3: Cross multiply
    298,095.77x = 411,374.09 × 162,130.70
  4. Step 4: Simplify right side
    298,095.77x = 66,696,370,607.33
  5. Step 5: Solve for x
    x = 66,696,370,607.33/298,095.77
  6. Step 6: Final answer
    x = 223,741.42

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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.