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Finding the Fourth Proportional to 522,819.40, 785,006.70 and 404,624.20

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Solution

The fourth proportional to 522,819.40, 785,006.70 and 404,624.20 is: 607,538.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,819.40 : 785,006.70 = 404,624.20 : x
  2. Step 2: Convert to fraction form
    522,819.40/785,006.70 = 404,624.20/x
  3. Step 3: Cross multiply
    522,819.40x = 785,006.70 × 404,624.20
  4. Step 4: Simplify right side
    522,819.40x = 317,632,707,982.14
  5. Step 5: Solve for x
    x = 317,632,707,982.14/522,819.40
  6. Step 6: Final answer
    x = 607,538.11

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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.