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Finding the Fourth Proportional to 500,213.06, 690,359.76 and 285,303.86

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Solution

The fourth proportional to 500,213.06, 690,359.76 and 285,303.86 is: 393,756.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,213.06 : 690,359.76 = 285,303.86 : x
  2. Step 2: Convert to fraction form
    500,213.06/690,359.76 = 285,303.86/x
  3. Step 3: Cross multiply
    500,213.06x = 690,359.76 × 285,303.86
  4. Step 4: Simplify right side
    500,213.06x = 196,962,304,316.67
  5. Step 5: Solve for x
    x = 196,962,304,316.67/500,213.06
  6. Step 6: Final answer
    x = 393,756.82

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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.