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Finding the Fourth Proportional to 406,423.54, 561,138.35 and 253,694.26

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Solution

The fourth proportional to 406,423.54, 561,138.35 and 253,694.26 is: 350,269.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,423.54 : 561,138.35 = 253,694.26 : x
  2. Step 2: Convert to fraction form
    406,423.54/561,138.35 = 253,694.26/x
  3. Step 3: Cross multiply
    406,423.54x = 561,138.35 × 253,694.26
  4. Step 4: Simplify right side
    406,423.54x = 142,357,578,460.87
  5. Step 5: Solve for x
    x = 142,357,578,460.87/406,423.54
  6. Step 6: Final answer
    x = 350,269.03

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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.