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Finding the Fourth Proportional to 309,702.78, 427,448.18 and 202,085.98

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Solution

The fourth proportional to 309,702.78, 427,448.18 and 202,085.98 is: 278,916.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,702.78 : 427,448.18 = 202,085.98 : x
  2. Step 2: Convert to fraction form
    309,702.78/427,448.18 = 202,085.98/x
  3. Step 3: Cross multiply
    309,702.78x = 427,448.18 × 202,085.98
  4. Step 4: Simplify right side
    309,702.78x = 86,381,282,217.28
  5. Step 5: Solve for x
    x = 86,381,282,217.28/309,702.78
  6. Step 6: Final answer
    x = 278,916.72

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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.