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Finding the Fourth Proportional to 572,382.78, 789,884.94 and 314,264.15

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Solution

The fourth proportional to 572,382.78, 789,884.94 and 314,264.15 is: 433,682.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,382.78 : 789,884.94 = 314,264.15 : x
  2. Step 2: Convert to fraction form
    572,382.78/789,884.94 = 314,264.15/x
  3. Step 3: Cross multiply
    572,382.78x = 789,884.94 × 314,264.15
  4. Step 4: Simplify right side
    572,382.78x = 248,232,523,017.27
  5. Step 5: Solve for x
    x = 248,232,523,017.27/572,382.78
  6. Step 6: Final answer
    x = 433,682.72

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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.