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Finding the Fourth Proportional to 470,715.30, 705,677.67 and 328,141.53

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Solution

The fourth proportional to 470,715.30, 705,677.67 and 328,141.53 is: 491,936.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,715.30 : 705,677.67 = 328,141.53 : x
  2. Step 2: Convert to fraction form
    470,715.30/705,677.67 = 328,141.53/x
  3. Step 3: Cross multiply
    470,715.30x = 705,677.67 × 328,141.53
  4. Step 4: Simplify right side
    470,715.30x = 231,562,150,320.64
  5. Step 5: Solve for x
    x = 231,562,150,320.64/470,715.30
  6. Step 6: Final answer
    x = 491,936.74

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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.