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Finding the Fourth Proportional to 256,140.43, 353,459.42 and 142,970.47

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Solution

The fourth proportional to 256,140.43, 353,459.42 and 142,970.47 is: 197,291.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,140.43 : 353,459.42 = 142,970.47 : x
  2. Step 2: Convert to fraction form
    256,140.43/353,459.42 = 142,970.47/x
  3. Step 3: Cross multiply
    256,140.43x = 353,459.42 × 142,970.47
  4. Step 4: Simplify right side
    256,140.43x = 50,534,258,688.48
  5. Step 5: Solve for x
    x = 50,534,258,688.48/256,140.43
  6. Step 6: Final answer
    x = 197,291.22

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1.5x scale

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.