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Finding the Fourth Proportional to 256,430.40, 384,530.40 and 98,606.40

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Solution

The fourth proportional to 256,430.40, 384,530.40 and 98,606.40 is: 147,865.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,430.40 : 384,530.40 = 98,606.40 : x
  2. Step 2: Convert to fraction form
    256,430.40/384,530.40 = 98,606.40/x
  3. Step 3: Cross multiply
    256,430.40x = 384,530.40 × 98,606.40
  4. Step 4: Simplify right side
    256,430.40x = 37,917,158,434.56
  5. Step 5: Solve for x
    x = 37,917,158,434.56/256,430.40
  6. Step 6: Final answer
    x = 147,865.30

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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.