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Finding the Fourth Proportional to 256,333.40, 384,384.90 and 98,509.40

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Solution

The fourth proportional to 256,333.40, 384,384.90 and 98,509.40 is: 147,719.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,333.40 : 384,384.90 = 98,509.40 : x
  2. Step 2: Convert to fraction form
    256,333.40/384,384.90 = 98,509.40/x
  3. Step 3: Cross multiply
    256,333.40x = 384,384.90 × 98,509.40
  4. Step 4: Simplify right side
    256,333.40x = 37,865,525,868.06
  5. Step 5: Solve for x
    x = 37,865,525,868.06/256,333.40
  6. Step 6: Final answer
    x = 147,719.83

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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.