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Finding the Fourth Proportional to 406,363.20, 607,816.80 and 364,545.60

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Solution

The fourth proportional to 406,363.20, 607,816.80 and 364,545.60 is: 545,268.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,363.20 : 607,816.80 = 364,545.60 : x
  2. Step 2: Convert to fraction form
    406,363.20/607,816.80 = 364,545.60/x
  3. Step 3: Cross multiply
    406,363.20x = 607,816.80 × 364,545.60
  4. Step 4: Simplify right side
    406,363.20x = 221,576,940,046.08
  5. Step 5: Solve for x
    x = 221,576,940,046.08/406,363.20
  6. Step 6: Final answer
    x = 545,268.22

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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.