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Finding the Fourth Proportional to 429,783.38, 644,696.48 and 163,564.53

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Solution

The fourth proportional to 429,783.38, 644,696.48 and 163,564.53 is: 245,354.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,783.38 : 644,696.48 = 163,564.53 : x
  2. Step 2: Convert to fraction form
    429,783.38/644,696.48 = 163,564.53/x
  3. Step 3: Cross multiply
    429,783.38x = 644,696.48 × 163,564.53
  4. Step 4: Simplify right side
    429,783.38x = 105,449,477,152.77
  5. Step 5: Solve for x
    x = 105,449,477,152.77/429,783.38
  6. Step 6: Final answer
    x = 245,354.94

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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.