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Finding the Fourth Proportional to 406,867.84, 610,328.64 and 140,654.08

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Solution

The fourth proportional to 406,867.84, 610,328.64 and 140,654.08 is: 210,990.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,867.84 : 610,328.64 = 140,654.08 : x
  2. Step 2: Convert to fraction form
    406,867.84/610,328.64 = 140,654.08/x
  3. Step 3: Cross multiply
    406,867.84x = 610,328.64 × 140,654.08
  4. Step 4: Simplify right side
    406,867.84x = 85,845,213,356.85
  5. Step 5: Solve for x
    x = 85,845,213,356.85/406,867.84
  6. Step 6: Final answer
    x = 210,990.41

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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.