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Finding the Fourth Proportional to 460,427.92, 635,488.54 and 309,437.44

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Solution

The fourth proportional to 460,427.92, 635,488.54 and 309,437.44 is: 427,089.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,427.92 : 635,488.54 = 309,437.44 : x
  2. Step 2: Convert to fraction form
    460,427.92/635,488.54 = 309,437.44/x
  3. Step 3: Cross multiply
    460,427.92x = 635,488.54 × 309,437.44
  4. Step 4: Simplify right side
    460,427.92x = 196,643,946,966.94
  5. Step 5: Solve for x
    x = 196,643,946,966.94/460,427.92
  6. Step 6: Final answer
    x = 427,089.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.