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Finding the Fourth Proportional to 295,400.52, 406,626.48 and 257,609.16

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Solution

The fourth proportional to 295,400.52, 406,626.48 and 257,609.16 is: 354,605.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,400.52 : 406,626.48 = 257,609.16 : x
  2. Step 2: Convert to fraction form
    295,400.52/406,626.48 = 257,609.16/x
  3. Step 3: Cross multiply
    295,400.52x = 406,626.48 × 257,609.16
  4. Step 4: Simplify right side
    295,400.52x = 104,750,705,946.56
  5. Step 5: Solve for x
    x = 104,750,705,946.56/295,400.52
  6. Step 6: Final answer
    x = 354,605.69

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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.