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Finding the Fourth Proportional to 256,204.77, 384,339.95 and 98,412.72

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Solution

The fourth proportional to 256,204.77, 384,339.95 and 98,412.72 is: 147,631.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,204.77 : 384,339.95 = 98,412.72 : x
  2. Step 2: Convert to fraction form
    256,204.77/384,339.95 = 98,412.72/x
  3. Step 3: Cross multiply
    256,204.77x = 384,339.95 × 98,412.72
  4. Step 4: Simplify right side
    256,204.77x = 37,823,939,884.16
  5. Step 5: Solve for x
    x = 37,823,939,884.16/256,204.77
  6. Step 6: Final answer
    x = 147,631.68

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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.