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Finding the Fourth Proportional to 501,662.19, 692,248.14 and 297,678

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Solution

The fourth proportional to 501,662.19, 692,248.14 and 297,678 is: 410,768.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,662.19 : 692,248.14 = 297,678 : x
  2. Step 2: Convert to fraction form
    501,662.19/692,248.14 = 297,678/x
  3. Step 3: Cross multiply
    501,662.19x = 692,248.14 × 297,678
  4. Step 4: Simplify right side
    501,662.19x = 206,067,041,818.92
  5. Step 5: Solve for x
    x = 206,067,041,818.92/501,662.19
  6. Step 6: Final answer
    x = 410,768.53

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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.