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Finding the Fourth Proportional to 429,003.60, 643,560.06 and 162,840.24

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Solution

The fourth proportional to 429,003.60, 643,560.06 and 162,840.24 is: 244,281.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,003.60 : 643,560.06 = 162,840.24 : x
  2. Step 2: Convert to fraction form
    429,003.60/643,560.06 = 162,840.24/x
  3. Step 3: Cross multiply
    429,003.60x = 643,560.06 × 162,840.24
  4. Step 4: Simplify right side
    429,003.60x = 104,797,474,624.81
  5. Step 5: Solve for x
    x = 104,797,474,624.81/429,003.60
  6. Step 6: Final answer
    x = 244,281.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.