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Finding the Fourth Proportional to 498,529.56, 746,602.20 and 287,527.80

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Solution

The fourth proportional to 498,529.56, 746,602.20 and 287,527.80 is: 430,604.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,529.56 : 746,602.20 = 287,527.80 : x
  2. Step 2: Convert to fraction form
    498,529.56/746,602.20 = 287,527.80/x
  3. Step 3: Cross multiply
    498,529.56x = 746,602.20 × 287,527.80
  4. Step 4: Simplify right side
    498,529.56x = 214,668,888,041.16
  5. Step 5: Solve for x
    x = 214,668,888,041.16/498,529.56
  6. Step 6: Final answer
    x = 430,604.13

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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.