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Finding the Fourth Proportional to 352,092.80, 528,139.20 and 313,385.60

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Solution

The fourth proportional to 352,092.80, 528,139.20 and 313,385.60 is: 470,078.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,092.80 : 528,139.20 = 313,385.60 : x
  2. Step 2: Convert to fraction form
    352,092.80/528,139.20 = 313,385.60/x
  3. Step 3: Cross multiply
    352,092.80x = 528,139.20 × 313,385.60
  4. Step 4: Simplify right side
    352,092.80x = 165,511,220,075.52
  5. Step 5: Solve for x
    x = 165,511,220,075.52/352,092.80
  6. Step 6: Final answer
    x = 470,078.40

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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.