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Finding the Fourth Proportional to 429,709.98, 644,631.84 and 130,119.24

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Solution

The fourth proportional to 429,709.98, 644,631.84 and 130,119.24 is: 195,199.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,709.98 : 644,631.84 = 130,119.24 : x
  2. Step 2: Convert to fraction form
    429,709.98/644,631.84 = 130,119.24/x
  3. Step 3: Cross multiply
    429,709.98x = 644,631.84 × 130,119.24
  4. Step 4: Simplify right side
    429,709.98x = 83,879,005,100.60
  5. Step 5: Solve for x
    x = 83,879,005,100.60/429,709.98
  6. Step 6: Final answer
    x = 195,199.11

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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.