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Finding the Fourth Proportional to 433,089.60, 649,634.40 and 328,113.60

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Solution

The fourth proportional to 433,089.60, 649,634.40 and 328,113.60 is: 492,170.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,089.60 : 649,634.40 = 328,113.60 : x
  2. Step 2: Convert to fraction form
    433,089.60/649,634.40 = 328,113.60/x
  3. Step 3: Cross multiply
    433,089.60x = 649,634.40 × 328,113.60
  4. Step 4: Simplify right side
    433,089.60x = 213,153,881,667.84
  5. Step 5: Solve for x
    x = 213,153,881,667.84/433,089.60
  6. Step 6: Final answer
    x = 492,170.40

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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.