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Finding the Fourth Proportional to 289,856.05, 406,074.95 and 289,856.05

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Solution

The fourth proportional to 289,856.05, 406,074.95 and 289,856.05 is: 406,074.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,856.05 : 406,074.95 = 289,856.05 : x
  2. Step 2: Convert to fraction form
    289,856.05/406,074.95 = 289,856.05/x
  3. Step 3: Cross multiply
    289,856.05x = 406,074.95 × 289,856.05
  4. Step 4: Simplify right side
    289,856.05x = 117,703,281,010.95
  5. Step 5: Solve for x
    x = 117,703,281,010.95/289,856.05
  6. Step 6: Final answer
    x = 406,074.95

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.