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Finding the Fourth Proportional to 513,034.61, 769,530.02 and 501,020.69

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Solution

The fourth proportional to 513,034.61, 769,530.02 and 501,020.69 is: 751,509.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,034.61 : 769,530.02 = 501,020.69 : x
  2. Step 2: Convert to fraction form
    513,034.61/769,530.02 = 501,020.69/x
  3. Step 3: Cross multiply
    513,034.61x = 769,530.02 × 501,020.69
  4. Step 4: Simplify right side
    513,034.61x = 385,550,455,243.36
  5. Step 5: Solve for x
    x = 385,550,455,243.36/513,034.61
  6. Step 6: Final answer
    x = 751,509.65

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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.