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Finding the Fourth Proportional to 510,460.80, 765,982.80 and 352,802.40

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Solution

The fourth proportional to 510,460.80, 765,982.80 and 352,802.40 is: 529,405.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,460.80 : 765,982.80 = 352,802.40 : x
  2. Step 2: Convert to fraction form
    510,460.80/765,982.80 = 352,802.40/x
  3. Step 3: Cross multiply
    510,460.80x = 765,982.80 × 352,802.40
  4. Step 4: Simplify right side
    510,460.80x = 270,240,570,198.72
  5. Step 5: Solve for x
    x = 270,240,570,198.72/510,460.80
  6. Step 6: Final answer
    x = 529,405.14

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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.