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Finding the Fourth Proportional to 470,209.80, 705,314.70 and 328,492.20

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Solution

The fourth proportional to 470,209.80, 705,314.70 and 328,492.20 is: 492,738.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,209.80 : 705,314.70 = 328,492.20 : x
  2. Step 2: Convert to fraction form
    470,209.80/705,314.70 = 328,492.20/x
  3. Step 3: Cross multiply
    470,209.80x = 705,314.70 × 328,492.20
  4. Step 4: Simplify right side
    470,209.80x = 231,690,377,495.34
  5. Step 5: Solve for x
    x = 231,690,377,495.34/470,209.80
  6. Step 6: Final answer
    x = 492,738.30

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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.