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Finding the Fourth Proportional to 538,863.30, 743,681.12 and 309,450.65

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Solution

The fourth proportional to 538,863.30, 743,681.12 and 309,450.65 is: 427,070.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,863.30 : 743,681.12 = 309,450.65 : x
  2. Step 2: Convert to fraction form
    538,863.30/743,681.12 = 309,450.65/x
  3. Step 3: Cross multiply
    538,863.30x = 743,681.12 × 309,450.65
  4. Step 4: Simplify right side
    538,863.30x = 230,132,600,711.07
  5. Step 5: Solve for x
    x = 230,132,600,711.07/538,863.30
  6. Step 6: Final answer
    x = 427,070.47

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1.5x scale

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.