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Finding the Fourth Proportional to 429,146.64, 644,143.59 and 322,158.60

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Solution

The fourth proportional to 429,146.64, 644,143.59 and 322,158.60 is: 483,555.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,146.64 : 644,143.59 = 322,158.60 : x
  2. Step 2: Convert to fraction form
    429,146.64/644,143.59 = 322,158.60/x
  3. Step 3: Cross multiply
    429,146.64x = 644,143.59 × 322,158.60
  4. Step 4: Simplify right side
    429,146.64x = 207,516,397,153.37
  5. Step 5: Solve for x
    x = 207,516,397,153.37/429,146.64
  6. Step 6: Final answer
    x = 483,555.92

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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.