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Finding the Fourth Proportional to 510,078.00, 765,210.41 and 210,395.10

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Solution

The fourth proportional to 510,078.00, 765,210.41 and 210,395.10 is: 315,631.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,078.00 : 765,210.41 = 210,395.10 : x
  2. Step 2: Convert to fraction form
    510,078.00/765,210.41 = 210,395.10/x
  3. Step 3: Cross multiply
    510,078.00x = 765,210.41 × 210,395.10
  4. Step 4: Simplify right side
    510,078.00x = 160,996,522,370.85
  5. Step 5: Solve for x
    x = 160,996,522,370.85/510,078.00
  6. Step 6: Final answer
    x = 315,631.18

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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.