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Finding the Fourth Proportional to 638,465.52, 957,051.90 and 413,968.08

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Solution

The fourth proportional to 638,465.52, 957,051.90 and 413,968.08 is: 620,533.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,465.52 : 957,051.90 = 413,968.08 : x
  2. Step 2: Convert to fraction form
    638,465.52/957,051.90 = 413,968.08/x
  3. Step 3: Cross multiply
    638,465.52x = 957,051.90 × 413,968.08
  4. Step 4: Simplify right side
    638,465.52x = 396,188,937,503.35
  5. Step 5: Solve for x
    x = 396,188,937,503.35/638,465.52
  6. Step 6: Final answer
    x = 620,533.02

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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.