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Finding the Fourth Proportional to 513,078.80, 768,743.40 and 423,849.20

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Solution

The fourth proportional to 513,078.80, 768,743.40 and 423,849.20 is: 635,051.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,078.80 : 768,743.40 = 423,849.20 : x
  2. Step 2: Convert to fraction form
    513,078.80/768,743.40 = 423,849.20/x
  3. Step 3: Cross multiply
    513,078.80x = 768,743.40 × 423,849.20
  4. Step 4: Simplify right side
    513,078.80x = 325,831,275,095.28
  5. Step 5: Solve for x
    x = 325,831,275,095.28/513,078.80
  6. Step 6: Final answer
    x = 635,051.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.