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Finding the Fourth Proportional to 572,208.66, 789,642.81 and 314,077.95

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Solution

The fourth proportional to 572,208.66, 789,642.81 and 314,077.95 is: 433,424.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,208.66 : 789,642.81 = 314,077.95 : x
  2. Step 2: Convert to fraction form
    572,208.66/789,642.81 = 314,077.95/x
  3. Step 3: Cross multiply
    572,208.66x = 789,642.81 × 314,077.95
  4. Step 4: Simplify right side
    572,208.66x = 248,009,394,997.04
  5. Step 5: Solve for x
    x = 248,009,394,997.04/572,208.66
  6. Step 6: Final answer
    x = 433,424.75

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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.