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Finding the Fourth Proportional to 340,732.80, 510,711.60 and 207,318.96

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Solution

The fourth proportional to 340,732.80, 510,711.60 and 207,318.96 is: 310,742.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,732.80 : 510,711.60 = 207,318.96 : x
  2. Step 2: Convert to fraction form
    340,732.80/510,711.60 = 207,318.96/x
  3. Step 3: Cross multiply
    340,732.80x = 510,711.60 × 207,318.96
  4. Step 4: Simplify right side
    340,732.80x = 105,880,197,771.94
  5. Step 5: Solve for x
    x = 105,880,197,771.94/340,732.80
  6. Step 6: Final answer
    x = 310,742.60

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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.