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Finding the Fourth Proportional to 406,963.20, 610,444.80 and 207,897.60

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Solution

The fourth proportional to 406,963.20, 610,444.80 and 207,897.60 is: 311,846.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,963.20 : 610,444.80 = 207,897.60 : x
  2. Step 2: Convert to fraction form
    406,963.20/610,444.80 = 207,897.60/x
  3. Step 3: Cross multiply
    406,963.20x = 610,444.80 × 207,897.60
  4. Step 4: Simplify right side
    406,963.20x = 126,910,008,852.48
  5. Step 5: Solve for x
    x = 126,910,008,852.48/406,963.20
  6. Step 6: Final answer
    x = 311,846.40

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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.