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Finding the Fourth Proportional to 297,877.68, 411,079.23 and 161,920.81

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Solution

The fourth proportional to 297,877.68, 411,079.23 and 161,920.81 is: 223,455.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,877.68 : 411,079.23 = 161,920.81 : x
  2. Step 2: Convert to fraction form
    297,877.68/411,079.23 = 161,920.81/x
  3. Step 3: Cross multiply
    297,877.68x = 411,079.23 × 161,920.81
  4. Step 4: Simplify right side
    297,877.68x = 66,562,281,895.78
  5. Step 5: Solve for x
    x = 66,562,281,895.78/297,877.68
  6. Step 6: Final answer
    x = 223,455.08

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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.