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Finding the Fourth Proportional to 498,405.60, 687,795.12 and 307,342.56

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Solution

The fourth proportional to 498,405.60, 687,795.12 and 307,342.56 is: 424,129.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,405.60 : 687,795.12 = 307,342.56 : x
  2. Step 2: Convert to fraction form
    498,405.60/687,795.12 = 307,342.56/x
  3. Step 3: Cross multiply
    498,405.60x = 687,795.12 × 307,342.56
  4. Step 4: Simplify right side
    498,405.60x = 211,388,712,936.31
  5. Step 5: Solve for x
    x = 211,388,712,936.31/498,405.60
  6. Step 6: Final answer
    x = 424,129.89

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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.