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Finding the Fourth Proportional to 509,304.70, 764,302.65 and 331,378.30

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Solution

The fourth proportional to 509,304.70, 764,302.65 and 331,378.30 is: 497,292.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,304.70 : 764,302.65 = 331,378.30 : x
  2. Step 2: Convert to fraction form
    509,304.70/764,302.65 = 331,378.30/x
  3. Step 3: Cross multiply
    509,304.70x = 764,302.65 × 331,378.30
  4. Step 4: Simplify right side
    509,304.70x = 253,273,312,842.50
  5. Step 5: Solve for x
    x = 253,273,312,842.50/509,304.70
  6. Step 6: Final answer
    x = 497,292.31

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1.5x scale

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.