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Finding the Fourth Proportional to 470,136.70, 705,205.05 and 137,712.70

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Solution

The fourth proportional to 470,136.70, 705,205.05 and 137,712.70 is: 206,569.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,136.70 : 705,205.05 = 137,712.70 : x
  2. Step 2: Convert to fraction form
    470,136.70/705,205.05 = 137,712.70/x
  3. Step 3: Cross multiply
    470,136.70x = 705,205.05 × 137,712.70
  4. Step 4: Simplify right side
    470,136.70x = 97,115,691,489.14
  5. Step 5: Solve for x
    x = 97,115,691,489.14/470,136.70
  6. Step 6: Final answer
    x = 206,569.05

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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.