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Finding the Fourth Proportional to 406,929.60, 610,394.40 and 266,769.60

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Solution

The fourth proportional to 406,929.60, 610,394.40 and 266,769.60 is: 400,154.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,929.60 : 610,394.40 = 266,769.60 : x
  2. Step 2: Convert to fraction form
    406,929.60/610,394.40 = 266,769.60/x
  3. Step 3: Cross multiply
    406,929.60x = 610,394.40 × 266,769.60
  4. Step 4: Simplify right side
    406,929.60x = 162,834,669,930.24
  5. Step 5: Solve for x
    x = 162,834,669,930.24/406,929.60
  6. Step 6: Final answer
    x = 400,154.40

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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.