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Finding the Fourth Proportional to 501,837.54, 692,304.81 and 320,458.70

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Solution

The fourth proportional to 501,837.54, 692,304.81 and 320,458.70 is: 442,085.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,837.54 : 692,304.81 = 320,458.70 : x
  2. Step 2: Convert to fraction form
    501,837.54/692,304.81 = 320,458.70/x
  3. Step 3: Cross multiply
    501,837.54x = 692,304.81 × 320,458.70
  4. Step 4: Simplify right side
    501,837.54x = 221,855,095,954.82
  5. Step 5: Solve for x
    x = 221,855,095,954.82/501,837.54
  6. Step 6: Final answer
    x = 442,085.49

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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.