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Finding the Fourth Proportional to 507,763.89, 700,549.56 and 301,048.65

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Solution

The fourth proportional to 507,763.89, 700,549.56 and 301,048.65 is: 415,349.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,763.89 : 700,549.56 = 301,048.65 : x
  2. Step 2: Convert to fraction form
    507,763.89/700,549.56 = 301,048.65/x
  3. Step 3: Cross multiply
    507,763.89x = 700,549.56 × 301,048.65
  4. Step 4: Simplify right side
    507,763.89x = 210,899,499,296.09
  5. Step 5: Solve for x
    x = 210,899,499,296.09/507,763.89
  6. Step 6: Final answer
    x = 415,349.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.