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Finding the Fourth Proportional to 406,875.40, 610,313.10 and 111,387.40

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Solution

The fourth proportional to 406,875.40, 610,313.10 and 111,387.40 is: 167,081.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,875.40 : 610,313.10 = 111,387.40 : x
  2. Step 2: Convert to fraction form
    406,875.40/610,313.10 = 111,387.40/x
  3. Step 3: Cross multiply
    406,875.40x = 610,313.10 × 111,387.40
  4. Step 4: Simplify right side
    406,875.40x = 67,981,189,394.94
  5. Step 5: Solve for x
    x = 67,981,189,394.94/406,875.40
  6. Step 6: Final answer
    x = 167,081.10

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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.