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Finding the Fourth Proportional to 549,231, 757,950.30 and 310,767

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Solution

The fourth proportional to 549,231, 757,950.30 and 310,767 is: 428,864.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,231 : 757,950.30 = 310,767 : x
  2. Step 2: Convert to fraction form
    549,231/757,950.30 = 310,767/x
  3. Step 3: Cross multiply
    549,231x = 757,950.30 × 310,767
  4. Step 4: Simplify right side
    549,231x = 235,545,940,880.10
  5. Step 5: Solve for x
    x = 235,545,940,880.10/549,231
  6. Step 6: Final answer
    x = 428,864.98

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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.