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Finding the Fourth Proportional to 256,585.76, 384,894.44 and 98,814.36

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Solution

The fourth proportional to 256,585.76, 384,894.44 and 98,814.36 is: 148,227.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,585.76 : 384,894.44 = 98,814.36 : x
  2. Step 2: Convert to fraction form
    256,585.76/384,894.44 = 98,814.36/x
  3. Step 3: Cross multiply
    256,585.76x = 384,894.44 × 98,814.36
  4. Step 4: Simplify right side
    256,585.76x = 38,033,097,756.16
  5. Step 5: Solve for x
    x = 38,033,097,756.16/256,585.76
  6. Step 6: Final answer
    x = 148,227.62

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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.