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Finding the Fourth Proportional to 406,285.84, 609,200.70 and 278,346.58

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Solution

The fourth proportional to 406,285.84, 609,200.70 and 278,346.58 is: 417,363.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,285.84 : 609,200.70 = 278,346.58 : x
  2. Step 2: Convert to fraction form
    406,285.84/609,200.70 = 278,346.58/x
  3. Step 3: Cross multiply
    406,285.84x = 609,200.70 × 278,346.58
  4. Step 4: Simplify right side
    406,285.84x = 169,568,931,378.61
  5. Step 5: Solve for x
    x = 169,568,931,378.61/406,285.84
  6. Step 6: Final answer
    x = 417,363.63

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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.