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Finding the Fourth Proportional to 371,042.25, 512,038.44 and 209,893.86

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Solution

The fourth proportional to 371,042.25, 512,038.44 and 209,893.86 is: 289,653.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,042.25 : 512,038.44 = 209,893.86 : x
  2. Step 2: Convert to fraction form
    371,042.25/512,038.44 = 209,893.86/x
  3. Step 3: Cross multiply
    371,042.25x = 512,038.44 × 209,893.86
  4. Step 4: Simplify right side
    371,042.25x = 107,473,724,639.98
  5. Step 5: Solve for x
    x = 107,473,724,639.98/371,042.25
  6. Step 6: Final answer
    x = 289,653.60

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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.