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Finding the Fourth Proportional to 613,434.47, 920,339.49 and 314,126.96

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Solution

The fourth proportional to 613,434.47, 920,339.49 and 314,126.96 is: 471,286.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,434.47 : 920,339.49 = 314,126.96 : x
  2. Step 2: Convert to fraction form
    613,434.47/920,339.49 = 314,126.96/x
  3. Step 3: Cross multiply
    613,434.47x = 920,339.49 × 314,126.96
  4. Step 4: Simplify right side
    613,434.47x = 289,103,447,914.84
  5. Step 5: Solve for x
    x = 289,103,447,914.84/613,434.47
  6. Step 6: Final answer
    x = 471,286.61

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1.5x scale

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.