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Finding the Fourth Proportional to 510,435.60, 765,089.28 and 210,750.96

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Solution

The fourth proportional to 510,435.60, 765,089.28 and 210,750.96 is: 315,893.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,435.60 : 765,089.28 = 210,750.96 : x
  2. Step 2: Convert to fraction form
    510,435.60/765,089.28 = 210,750.96/x
  3. Step 3: Cross multiply
    510,435.60x = 765,089.28 × 210,750.96
  4. Step 4: Simplify right side
    510,435.60x = 161,243,300,245.71
  5. Step 5: Solve for x
    x = 161,243,300,245.71/510,435.60
  6. Step 6: Final answer
    x = 315,893.52

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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.