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Finding the Fourth Proportional to 429,700.23, 644,617.20 and 130,109.48

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Solution

The fourth proportional to 429,700.23, 644,617.20 and 130,109.48 is: 195,184.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,700.23 : 644,617.20 = 130,109.48 : x
  2. Step 2: Convert to fraction form
    429,700.23/644,617.20 = 130,109.48/x
  3. Step 3: Cross multiply
    429,700.23x = 644,617.20 × 130,109.48
  4. Step 4: Simplify right side
    429,700.23x = 83,870,805,467.97
  5. Step 5: Solve for x
    x = 83,870,805,467.97/429,700.23
  6. Step 6: Final answer
    x = 195,184.46

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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.