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Finding the Fourth Proportional to 429,428.16, 644,049.60 and 163,094.40

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Solution

The fourth proportional to 429,428.16, 644,049.60 and 163,094.40 is: 244,606.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,428.16 : 644,049.60 = 163,094.40 : x
  2. Step 2: Convert to fraction form
    429,428.16/644,049.60 = 163,094.40/x
  3. Step 3: Cross multiply
    429,428.16x = 644,049.60 × 163,094.40
  4. Step 4: Simplify right side
    429,428.16x = 105,040,883,082.24
  5. Step 5: Solve for x
    x = 105,040,883,082.24/429,428.16
  6. Step 6: Final answer
    x = 244,606.42

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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.