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Finding the Fourth Proportional to 256,878.34, 354,491.60 and 143,701.09

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Solution

The fourth proportional to 256,878.34, 354,491.60 and 143,701.09 is: 198,307.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,878.34 : 354,491.60 = 143,701.09 : x
  2. Step 2: Convert to fraction form
    256,878.34/354,491.60 = 143,701.09/x
  3. Step 3: Cross multiply
    256,878.34x = 354,491.60 × 143,701.09
  4. Step 4: Simplify right side
    256,878.34x = 50,940,828,788.87
  5. Step 5: Solve for x
    x = 50,940,828,788.87/256,878.34
  6. Step 6: Final answer
    x = 198,307.22

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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.