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Finding the Fourth Proportional to 310,956.52, 429,043.88 and 174,964

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Solution

The fourth proportional to 310,956.52, 429,043.88 and 174,964 is: 241,407.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,956.52 : 429,043.88 = 174,964 : x
  2. Step 2: Convert to fraction form
    310,956.52/429,043.88 = 174,964/x
  3. Step 3: Cross multiply
    310,956.52x = 429,043.88 × 174,964
  4. Step 4: Simplify right side
    310,956.52x = 75,067,233,420.32
  5. Step 5: Solve for x
    x = 75,067,233,420.32/310,956.52
  6. Step 6: Final answer
    x = 241,407.49

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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.