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Finding the Fourth Proportional to 680,874.70, 1,021,312.05 and 470,922.70

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Solution

The fourth proportional to 680,874.70, 1,021,312.05 and 470,922.70 is: 706,384.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,874.70 : 1,021,312.05 = 470,922.70 : x
  2. Step 2: Convert to fraction form
    680,874.70/1,021,312.05 = 470,922.70/x
  3. Step 3: Cross multiply
    680,874.70x = 1,021,312.05 × 470,922.70
  4. Step 4: Simplify right side
    680,874.70x = 480,959,028,128.54
  5. Step 5: Solve for x
    x = 480,959,028,128.54/680,874.70
  6. Step 6: Final answer
    x = 706,384.05

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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.