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Finding the Fourth Proportional to 338,630.80, 509,117.40 and 316,704.40

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Solution

The fourth proportional to 338,630.80, 509,117.40 and 316,704.40 is: 476,151.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,630.80 : 509,117.40 = 316,704.40 : x
  2. Step 2: Convert to fraction form
    338,630.80/509,117.40 = 316,704.40/x
  3. Step 3: Cross multiply
    338,630.80x = 509,117.40 × 316,704.40
  4. Step 4: Simplify right side
    338,630.80x = 161,239,720,696.56
  5. Step 5: Solve for x
    x = 161,239,720,696.56/338,630.80
  6. Step 6: Final answer
    x = 476,151.96

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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.