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Finding the Fourth Proportional to 429,765.10, 644,036.44 and 316,555.06

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Solution

The fourth proportional to 429,765.10, 644,036.44 and 316,555.06 is: 474,382.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,765.10 : 644,036.44 = 316,555.06 : x
  2. Step 2: Convert to fraction form
    429,765.10/644,036.44 = 316,555.06/x
  3. Step 3: Cross multiply
    429,765.10x = 644,036.44 × 316,555.06
  4. Step 4: Simplify right side
    429,765.10x = 203,872,993,906.39
  5. Step 5: Solve for x
    x = 203,872,993,906.39/429,765.10
  6. Step 6: Final answer
    x = 474,382.39

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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.