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Finding the Fourth Proportional to 552,832.20, 830,123.10 and 419,862.60

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Solution

The fourth proportional to 552,832.20, 830,123.10 and 419,862.60 is: 630,458.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,832.20 : 830,123.10 = 419,862.60 : x
  2. Step 2: Convert to fraction form
    552,832.20/830,123.10 = 419,862.60/x
  3. Step 3: Cross multiply
    552,832.20x = 830,123.10 × 419,862.60
  4. Step 4: Simplify right side
    552,832.20x = 348,537,643,086.06
  5. Step 5: Solve for x
    x = 348,537,643,086.06/552,832.20
  6. Step 6: Final answer
    x = 630,458.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.