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Finding the Fourth Proportional to 481,681.15, 719,592.07 and 311,817.67

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Solution

The fourth proportional to 481,681.15, 719,592.07 and 311,817.67 is: 465,829.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,681.15 : 719,592.07 = 311,817.67 : x
  2. Step 2: Convert to fraction form
    481,681.15/719,592.07 = 311,817.67/x
  3. Step 3: Cross multiply
    481,681.15x = 719,592.07 × 311,817.67
  4. Step 4: Simplify right side
    481,681.15x = 224,381,520,624.01
  5. Step 5: Solve for x
    x = 224,381,520,624.01/481,681.15
  6. Step 6: Final answer
    x = 465,829.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.