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Finding the Fourth Proportional to 257,040.34, 354,848.82 and 160,272.88

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Solution

The fourth proportional to 257,040.34, 354,848.82 and 160,272.88 is: 221,259.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,040.34 : 354,848.82 = 160,272.88 : x
  2. Step 2: Convert to fraction form
    257,040.34/354,848.82 = 160,272.88/x
  3. Step 3: Cross multiply
    257,040.34x = 354,848.82 × 160,272.88
  4. Step 4: Simplify right side
    257,040.34x = 56,872,642,346.00
  5. Step 5: Solve for x
    x = 56,872,642,346.00/257,040.34
  6. Step 6: Final answer
    x = 221,259.60

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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.