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Finding the Fourth Proportional to 460,385.90, 635,430.57 and 309,395.42

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Solution

The fourth proportional to 460,385.90, 635,430.57 and 309,395.42 is: 427,031.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,385.90 : 635,430.57 = 309,395.42 : x
  2. Step 2: Convert to fraction form
    460,385.90/635,430.57 = 309,395.42/x
  3. Step 3: Cross multiply
    460,385.90x = 635,430.57 × 309,395.42
  4. Step 4: Simplify right side
    460,385.90x = 196,599,308,085.99
  5. Step 5: Solve for x
    x = 196,599,308,085.99/460,385.90
  6. Step 6: Final answer
    x = 427,031.56

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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.