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Finding the Fourth Proportional to 522,843.40, 785,042.70 and 404,648.20

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Solution

The fourth proportional to 522,843.40, 785,042.70 and 404,648.20 is: 607,574.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,843.40 : 785,042.70 = 404,648.20 : x
  2. Step 2: Convert to fraction form
    522,843.40/785,042.70 = 404,648.20/x
  3. Step 3: Cross multiply
    522,843.40x = 785,042.70 × 404,648.20
  4. Step 4: Simplify right side
    522,843.40x = 317,666,115,478.14
  5. Step 5: Solve for x
    x = 317,666,115,478.14/522,843.40
  6. Step 6: Final answer
    x = 607,574.11

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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.