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Finding the Fourth Proportional to 494,594.10, 742,328.55 and 423,735.30

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Solution

The fourth proportional to 494,594.10, 742,328.55 and 423,735.30 is: 635,977.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,594.10 : 742,328.55 = 423,735.30 : x
  2. Step 2: Convert to fraction form
    494,594.10/742,328.55 = 423,735.30/x
  3. Step 3: Cross multiply
    494,594.10x = 742,328.55 × 423,735.30
  4. Step 4: Simplify right side
    494,594.10x = 314,550,810,832.82
  5. Step 5: Solve for x
    x = 314,550,810,832.82/494,594.10
  6. Step 6: Final answer
    x = 635,977.69

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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.