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Finding the Fourth Proportional to 532,428.04, 734,745.12 and 290,709.86

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Solution

The fourth proportional to 532,428.04, 734,745.12 and 290,709.86 is: 401,176.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,428.04 : 734,745.12 = 290,709.86 : x
  2. Step 2: Convert to fraction form
    532,428.04/734,745.12 = 290,709.86/x
  3. Step 3: Cross multiply
    532,428.04x = 734,745.12 × 290,709.86
  4. Step 4: Simplify right side
    532,428.04x = 213,597,650,970.88
  5. Step 5: Solve for x
    x = 213,597,650,970.88/532,428.04
  6. Step 6: Final answer
    x = 401,176.57

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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.