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Finding the Fourth Proportional to 510,758,738.80, 766,245,708 and 165,685,421.68

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Solution

The fourth proportional to 510,758,738.80, 766,245,708 and 165,685,421.68 is: 248,563,036.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,758,738.80 : 766,245,708 = 165,685,421.68 : x
  2. Step 2: Convert to fraction form
    510,758,738.80/766,245,708 = 165,685,421.68/x
  3. Step 3: Cross multiply
    510,758,738.80x = 766,245,708 × 165,685,421.68
  4. Step 4: Simplify right side
    510,758,738.80x = 126,955,743,240,470,160
  5. Step 5: Solve for x
    x = 126,955,743,240,470,160/510,758,738.80
  6. Step 6: Final answer
    x = 248,563,036.90

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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.