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Finding the Fourth Proportional to 460,384.40, 635,428.50 and 309,393.92

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Solution

The fourth proportional to 460,384.40, 635,428.50 and 309,393.92 is: 427,029.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,384.40 : 635,428.50 = 309,393.92 : x
  2. Step 2: Convert to fraction form
    460,384.40/635,428.50 = 309,393.92/x
  3. Step 3: Cross multiply
    460,384.40x = 635,428.50 × 309,393.92
  4. Step 4: Simplify right side
    460,384.40x = 196,597,714,494.72
  5. Step 5: Solve for x
    x = 196,597,714,494.72/460,384.40
  6. Step 6: Final answer
    x = 427,029.49

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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.