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Finding the Fourth Proportional to 256,664.40, 384,881.40 and 98,840.40

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Solution

The fourth proportional to 256,664.40, 384,881.40 and 98,840.40 is: 148,216.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,664.40 : 384,881.40 = 98,840.40 : x
  2. Step 2: Convert to fraction form
    256,664.40/384,881.40 = 98,840.40/x
  3. Step 3: Cross multiply
    256,664.40x = 384,881.40 × 98,840.40
  4. Step 4: Simplify right side
    256,664.40x = 38,041,831,528.56
  5. Step 5: Solve for x
    x = 38,041,831,528.56/256,664.40
  6. Step 6: Final answer
    x = 148,216.24

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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.