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Finding the Fourth Proportional to 642,389.90, 886,461.02 and 355,892.90

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Solution

The fourth proportional to 642,389.90, 886,461.02 and 355,892.90 is: 491,111.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,389.90 : 886,461.02 = 355,892.90 : x
  2. Step 2: Convert to fraction form
    642,389.90/886,461.02 = 355,892.90/x
  3. Step 3: Cross multiply
    642,389.90x = 886,461.02 × 355,892.90
  4. Step 4: Simplify right side
    642,389.90x = 315,485,183,144.76
  5. Step 5: Solve for x
    x = 315,485,183,144.76/642,389.90
  6. Step 6: Final answer
    x = 491,111.68

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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.