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Finding the Fourth Proportional to 470,223.30, 705,334.95 and 328,505.70

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Solution

The fourth proportional to 470,223.30, 705,334.95 and 328,505.70 is: 492,758.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,223.30 : 705,334.95 = 328,505.70 : x
  2. Step 2: Convert to fraction form
    470,223.30/705,334.95 = 328,505.70/x
  3. Step 3: Cross multiply
    470,223.30x = 705,334.95 × 328,505.70
  4. Step 4: Simplify right side
    470,223.30x = 231,706,551,484.22
  5. Step 5: Solve for x
    x = 231,706,551,484.22/470,223.30
  6. Step 6: Final answer
    x = 492,758.55

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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.