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Finding the Fourth Proportional to 289,821.38, 399,877.74 and 167,283.77

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Solution

The fourth proportional to 289,821.38, 399,877.74 and 167,283.77 is: 230,807.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,821.38 : 399,877.74 = 167,283.77 : x
  2. Step 2: Convert to fraction form
    289,821.38/399,877.74 = 167,283.77/x
  3. Step 3: Cross multiply
    289,821.38x = 399,877.74 × 167,283.77
  4. Step 4: Simplify right side
    289,821.38x = 66,893,053,886.89
  5. Step 5: Solve for x
    x = 66,893,053,886.89/289,821.38
  6. Step 6: Final answer
    x = 230,807.87

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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.