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Finding the Fourth Proportional to 642,296.93, 886,423.91 and 355,843.67

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Solution

The fourth proportional to 642,296.93, 886,423.91 and 355,843.67 is: 491,094.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,296.93 : 886,423.91 = 355,843.67 : x
  2. Step 2: Convert to fraction form
    642,296.93/886,423.91 = 355,843.67/x
  3. Step 3: Cross multiply
    642,296.93x = 886,423.91 × 355,843.67
  4. Step 4: Simplify right side
    642,296.93x = 315,428,331,098.81
  5. Step 5: Solve for x
    x = 315,428,331,098.81/642,296.93
  6. Step 6: Final answer
    x = 491,094.26

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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.