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Finding the Fourth Proportional to 510,564.74, 765,850.91 and 190,788.89

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Solution

The fourth proportional to 510,564.74, 765,850.91 and 190,788.89 is: 286,184.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,564.74 : 765,850.91 = 190,788.89 : x
  2. Step 2: Convert to fraction form
    510,564.74/765,850.91 = 190,788.89/x
  3. Step 3: Cross multiply
    510,564.74x = 765,850.91 × 190,788.89
  4. Step 4: Simplify right side
    510,564.74x = 146,115,845,024.39
  5. Step 5: Solve for x
    x = 146,115,845,024.39/510,564.74
  6. Step 6: Final answer
    x = 286,184.75

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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.