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Finding the Fourth Proportional to 510,365.12, 765,711.60 and 155,447.84

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Solution

The fourth proportional to 510,365.12, 765,711.60 and 155,447.84 is: 233,221.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,365.12 : 765,711.60 = 155,447.84 : x
  2. Step 2: Convert to fraction form
    510,365.12/765,711.60 = 155,447.84/x
  3. Step 3: Cross multiply
    510,365.12x = 765,711.60 × 155,447.84
  4. Step 4: Simplify right side
    510,365.12x = 119,028,214,282.94
  5. Step 5: Solve for x
    x = 119,028,214,282.94/510,365.12
  6. Step 6: Final answer
    x = 233,221.69

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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.