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Finding the Fourth Proportional to 722,996.95, 997,507.79 and 417,032.31

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Solution

The fourth proportional to 722,996.95, 997,507.79 and 417,032.31 is: 575,373.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,996.95 : 997,507.79 = 417,032.31 : x
  2. Step 2: Convert to fraction form
    722,996.95/997,507.79 = 417,032.31/x
  3. Step 3: Cross multiply
    722,996.95x = 997,507.79 × 417,032.31
  4. Step 4: Simplify right side
    722,996.95x = 415,992,975,821.53
  5. Step 5: Solve for x
    x = 415,992,975,821.53/722,996.95
  6. Step 6: Final answer
    x = 575,373.07

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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.