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Finding the Fourth Proportional to 360,424.30, 497,359.35 and 199,281.34

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Solution

The fourth proportional to 360,424.30, 497,359.35 and 199,281.34 is: 274,993.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,424.30 : 497,359.35 = 199,281.34 : x
  2. Step 2: Convert to fraction form
    360,424.30/497,359.35 = 199,281.34/x
  3. Step 3: Cross multiply
    360,424.30x = 497,359.35 × 199,281.34
  4. Step 4: Simplify right side
    360,424.30x = 99,114,437,729.53
  5. Step 5: Solve for x
    x = 99,114,437,729.53/360,424.30
  6. Step 6: Final answer
    x = 274,993.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.