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Finding the Fourth Proportional to 406,944.40, 610,416.60 and 340,459.60

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Solution

The fourth proportional to 406,944.40, 610,416.60 and 340,459.60 is: 510,689.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,944.40 : 610,416.60 = 340,459.60 : x
  2. Step 2: Convert to fraction form
    406,944.40/610,416.60 = 340,459.60/x
  3. Step 3: Cross multiply
    406,944.40x = 610,416.60 × 340,459.60
  4. Step 4: Simplify right side
    406,944.40x = 207,822,191,469.36
  5. Step 5: Solve for x
    x = 207,822,191,469.36/406,944.40
  6. Step 6: Final answer
    x = 510,689.40

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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.