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Finding the Fourth Proportional to 493,888.64, 739,681.11 and 418,743.32

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Solution

The fourth proportional to 493,888.64, 739,681.11 and 418,743.32 is: 627,138.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,888.64 : 739,681.11 = 418,743.32 : x
  2. Step 2: Convert to fraction form
    493,888.64/739,681.11 = 418,743.32/x
  3. Step 3: Cross multiply
    493,888.64x = 739,681.11 × 418,743.32
  4. Step 4: Simplify right side
    493,888.64x = 309,736,520,044.28
  5. Step 5: Solve for x
    x = 309,736,520,044.28/493,888.64
  6. Step 6: Final answer
    x = 627,138.38

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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.