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Finding the Fourth Proportional to 513,187.74, 769,590.15 and 176,132.74

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Solution

The fourth proportional to 513,187.74, 769,590.15 and 176,132.74 is: 264,133.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,187.74 : 769,590.15 = 176,132.74 : x
  2. Step 2: Convert to fraction form
    513,187.74/769,590.15 = 176,132.74/x
  3. Step 3: Cross multiply
    513,187.74x = 769,590.15 × 176,132.74
  4. Step 4: Simplify right side
    513,187.74x = 135,550,021,796.51
  5. Step 5: Solve for x
    x = 135,550,021,796.51/513,187.74
  6. Step 6: Final answer
    x = 264,133.40

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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.