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Finding the Fourth Proportional to 371,061, 512,064.45 and 201,295.80

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Solution

The fourth proportional to 371,061, 512,064.45 and 201,295.80 is: 277,788.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,061 : 512,064.45 = 201,295.80 : x
  2. Step 2: Convert to fraction form
    371,061/512,064.45 = 201,295.80/x
  3. Step 3: Cross multiply
    371,061x = 512,064.45 × 201,295.80
  4. Step 4: Simplify right side
    371,061x = 103,076,423,114.31
  5. Step 5: Solve for x
    x = 103,076,423,114.31/371,061
  6. Step 6: Final answer
    x = 277,788.35

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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.