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Finding the Fourth Proportional to 328,967.44, 454,047.04 and 208,269.66

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Solution

The fourth proportional to 328,967.44, 454,047.04 and 208,269.66 is: 287,457.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,967.44 : 454,047.04 = 208,269.66 : x
  2. Step 2: Convert to fraction form
    328,967.44/454,047.04 = 208,269.66/x
  3. Step 3: Cross multiply
    328,967.44x = 454,047.04 × 208,269.66
  4. Step 4: Simplify right side
    328,967.44x = 94,564,222,644.81
  5. Step 5: Solve for x
    x = 94,564,222,644.81/328,967.44
  6. Step 6: Final answer
    x = 287,457.70

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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.