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Finding the Fourth Proportional to 429,383.44, 643,078.53 and 414,437.10

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Solution

The fourth proportional to 429,383.44, 643,078.53 and 414,437.10 is: 620,693.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,383.44 : 643,078.53 = 414,437.10 : x
  2. Step 2: Convert to fraction form
    429,383.44/643,078.53 = 414,437.10/x
  3. Step 3: Cross multiply
    429,383.44x = 643,078.53 × 414,437.10
  4. Step 4: Simplify right side
    429,383.44x = 266,515,601,045.46
  5. Step 5: Solve for x
    x = 266,515,601,045.46/429,383.44
  6. Step 6: Final answer
    x = 620,693.71

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1.5x scale

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.