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Finding the Fourth Proportional to 497,259.48, 686,267.64 and 303,656.52

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Solution

The fourth proportional to 497,259.48, 686,267.64 and 303,656.52 is: 419,076.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,259.48 : 686,267.64 = 303,656.52 : x
  2. Step 2: Convert to fraction form
    497,259.48/686,267.64 = 303,656.52/x
  3. Step 3: Cross multiply
    497,259.48x = 686,267.64 × 303,656.52
  4. Step 4: Simplify right side
    497,259.48x = 208,389,643,351.01
  5. Step 5: Solve for x
    x = 208,389,643,351.01/497,259.48
  6. Step 6: Final answer
    x = 419,076.26

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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.