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Finding the Fourth Proportional to 256,101.48, 353,435.40 and 142,931.52

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Solution

The fourth proportional to 256,101.48, 353,435.40 and 142,931.52 is: 197,254.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,101.48 : 353,435.40 = 142,931.52 : x
  2. Step 2: Convert to fraction form
    256,101.48/353,435.40 = 142,931.52/x
  3. Step 3: Cross multiply
    256,101.48x = 353,435.40 × 142,931.52
  4. Step 4: Simplify right side
    256,101.48x = 50,517,058,943.81
  5. Step 5: Solve for x
    x = 50,517,058,943.81/256,101.48
  6. Step 6: Final answer
    x = 197,254.07

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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.