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Finding the Fourth Proportional to 406,856.80, 610,285.20 and 265,139.20

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Solution

The fourth proportional to 406,856.80, 610,285.20 and 265,139.20 is: 397,708.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,856.80 : 610,285.20 = 265,139.20 : x
  2. Step 2: Convert to fraction form
    406,856.80/610,285.20 = 265,139.20/x
  3. Step 3: Cross multiply
    406,856.80x = 610,285.20 × 265,139.20
  4. Step 4: Simplify right side
    406,856.80x = 161,810,529,699.84
  5. Step 5: Solve for x
    x = 161,810,529,699.84/406,856.80
  6. Step 6: Final answer
    x = 397,708.80

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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.