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Finding the Fourth Proportional to 256,058.40, 353,325.28 and 142,859.20

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Solution

The fourth proportional to 256,058.40, 353,325.28 and 142,859.20 is: 197,125.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,058.40 : 353,325.28 = 142,859.20 : x
  2. Step 2: Convert to fraction form
    256,058.40/353,325.28 = 142,859.20/x
  3. Step 3: Cross multiply
    256,058.40x = 353,325.28 × 142,859.20
  4. Step 4: Simplify right side
    256,058.40x = 50,475,766,840.58
  5. Step 5: Solve for x
    x = 50,475,766,840.58/256,058.40
  6. Step 6: Final answer
    x = 197,125.99

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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.