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Finding the Fourth Proportional to 501,345.40, 752,487.90 and 264,857.80

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Solution

The fourth proportional to 501,345.40, 752,487.90 and 264,857.80 is: 397,534.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,345.40 : 752,487.90 = 264,857.80 : x
  2. Step 2: Convert to fraction form
    501,345.40/752,487.90 = 264,857.80/x
  3. Step 3: Cross multiply
    501,345.40x = 752,487.90 × 264,857.80
  4. Step 4: Simplify right side
    501,345.40x = 199,302,289,720.62
  5. Step 5: Solve for x
    x = 199,302,289,720.62/501,345.40
  6. Step 6: Final answer
    x = 397,534.89

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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.