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Finding the Fourth Proportional to 533,309.46, 735,978.58 and 318,409.44

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Solution

The fourth proportional to 533,309.46, 735,978.58 and 318,409.44 is: 439,411.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,309.46 : 735,978.58 = 318,409.44 : x
  2. Step 2: Convert to fraction form
    533,309.46/735,978.58 = 318,409.44/x
  3. Step 3: Cross multiply
    533,309.46x = 735,978.58 × 318,409.44
  4. Step 4: Simplify right side
    533,309.46x = 234,342,527,509.80
  5. Step 5: Solve for x
    x = 234,342,527,509.80/533,309.46
  6. Step 6: Final answer
    x = 439,411.91

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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.