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Finding the Fourth Proportional to 256,347.43, 353,748.74 and 147,443.48

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Solution

The fourth proportional to 256,347.43, 353,748.74 and 147,443.48 is: 203,465.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,347.43 : 353,748.74 = 147,443.48 : x
  2. Step 2: Convert to fraction form
    256,347.43/353,748.74 = 147,443.48/x
  3. Step 3: Cross multiply
    256,347.43x = 353,748.74 × 147,443.48
  4. Step 4: Simplify right side
    256,347.43x = 52,157,945,271.22
  5. Step 5: Solve for x
    x = 52,157,945,271.22/256,347.43
  6. Step 6: Final answer
    x = 203,465.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.