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Finding the Fourth Proportional to 289,851.41, 400,016.21 and 160,810.18

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Solution

The fourth proportional to 289,851.41, 400,016.21 and 160,810.18 is: 221,929.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,851.41 : 400,016.21 = 160,810.18 : x
  2. Step 2: Convert to fraction form
    289,851.41/400,016.21 = 160,810.18/x
  3. Step 3: Cross multiply
    289,851.41x = 400,016.21 × 160,810.18
  4. Step 4: Simplify right side
    289,851.41x = 64,326,676,928.93
  5. Step 5: Solve for x
    x = 64,326,676,928.93/289,851.41
  6. Step 6: Final answer
    x = 221,929.84

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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.