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Finding the Fourth Proportional to 429,430.41, 644,145.75 and 163,128.06

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Solution

The fourth proportional to 429,430.41, 644,145.75 and 163,128.06 is: 244,692.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,430.41 : 644,145.75 = 163,128.06 : x
  2. Step 2: Convert to fraction form
    429,430.41/644,145.75 = 163,128.06/x
  3. Step 3: Cross multiply
    429,430.41x = 644,145.75 × 163,128.06
  4. Step 4: Simplify right side
    429,430.41x = 105,078,246,554.75
  5. Step 5: Solve for x
    x = 105,078,246,554.75/429,430.41
  6. Step 6: Final answer
    x = 244,692.14

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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.