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Finding the Fourth Proportional to 429,762.24, 644,760 and 130,230.72

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Solution

The fourth proportional to 429,762.24, 644,760 and 130,230.72 is: 195,381.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,762.24 : 644,760 = 130,230.72 : x
  2. Step 2: Convert to fraction form
    429,762.24/644,760 = 130,230.72/x
  3. Step 3: Cross multiply
    429,762.24x = 644,760 × 130,230.72
  4. Step 4: Simplify right side
    429,762.24x = 83,967,559,027.20
  5. Step 5: Solve for x
    x = 83,967,559,027.20/429,762.24
  6. Step 6: Final answer
    x = 195,381.43

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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.