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Finding the Fourth Proportional to 513,023.40, 768,368.70 and 324,066.60

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Solution

The fourth proportional to 513,023.40, 768,368.70 and 324,066.60 is: 485,363.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,023.40 : 768,368.70 = 324,066.60 : x
  2. Step 2: Convert to fraction form
    513,023.40/768,368.70 = 324,066.60/x
  3. Step 3: Cross multiply
    513,023.40x = 768,368.70 × 324,066.60
  4. Step 4: Simplify right side
    513,023.40x = 249,002,632,155.42
  5. Step 5: Solve for x
    x = 249,002,632,155.42/513,023.40
  6. Step 6: Final answer
    x = 485,363.11

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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.