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Finding the Fourth Proportional to 501,550.65, 753,507 and 408,646.89

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Solution

The fourth proportional to 501,550.65, 753,507 and 408,646.89 is: 613,932.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,550.65 : 753,507 = 408,646.89 : x
  2. Step 2: Convert to fraction form
    501,550.65/753,507 = 408,646.89/x
  3. Step 3: Cross multiply
    501,550.65x = 753,507 × 408,646.89
  4. Step 4: Simplify right side
    501,550.65x = 307,918,292,143.23
  5. Step 5: Solve for x
    x = 307,918,292,143.23/501,550.65
  6. Step 6: Final answer
    x = 613,932.60

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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.