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Finding the Fourth Proportional to 256,911.70, 385,333.52 and 116,638.06

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Solution

The fourth proportional to 256,911.70, 385,333.52 and 116,638.06 is: 174,941.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,911.70 : 385,333.52 = 116,638.06 : x
  2. Step 2: Convert to fraction form
    256,911.70/385,333.52 = 116,638.06/x
  3. Step 3: Cross multiply
    256,911.70x = 385,333.52 × 116,638.06
  4. Step 4: Simplify right side
    256,911.70x = 44,944,554,225.77
  5. Step 5: Solve for x
    x = 44,944,554,225.77/256,911.70
  6. Step 6: Final answer
    x = 174,941.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.