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Finding the Fourth Proportional to 256,483.84, 384,604.64 and 149,898.36

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Solution

The fourth proportional to 256,483.84, 384,604.64 and 149,898.36 is: 224,776.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,483.84 : 384,604.64 = 149,898.36 : x
  2. Step 2: Convert to fraction form
    256,483.84/384,604.64 = 149,898.36/x
  3. Step 3: Cross multiply
    256,483.84x = 384,604.64 × 149,898.36
  4. Step 4: Simplify right side
    256,483.84x = 57,651,604,784.39
  5. Step 5: Solve for x
    x = 57,651,604,784.39/256,483.84
  6. Step 6: Final answer
    x = 224,776.75

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1.5x scale

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.