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Finding the Fourth Proportional to 735,906, 1,015,551.28 and 417,954

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Solution

The fourth proportional to 735,906, 1,015,551.28 and 417,954 is: 576,777.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,906 : 1,015,551.28 = 417,954 : x
  2. Step 2: Convert to fraction form
    735,906/1,015,551.28 = 417,954/x
  3. Step 3: Cross multiply
    735,906x = 1,015,551.28 × 417,954
  4. Step 4: Simplify right side
    735,906x = 424,453,719,681.12
  5. Step 5: Solve for x
    x = 424,453,719,681.12/735,906
  6. Step 6: Final answer
    x = 576,777.09

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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.