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Finding the Fourth Proportional to 497,877.60, 687,132.81 and 304,245.48

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Solution

The fourth proportional to 497,877.60, 687,132.81 and 304,245.48 is: 419,896.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,877.60 : 687,132.81 = 304,245.48 : x
  2. Step 2: Convert to fraction form
    497,877.60/687,132.81 = 304,245.48/x
  3. Step 3: Cross multiply
    497,877.60x = 687,132.81 × 304,245.48
  4. Step 4: Simplify right side
    497,877.60x = 209,057,051,602.20
  5. Step 5: Solve for x
    x = 209,057,051,602.20/497,877.60
  6. Step 6: Final answer
    x = 419,896.48

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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.