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Finding the Fourth Proportional to 320,648.76, 442,107.72 and 259,459.20

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Solution

The fourth proportional to 320,648.76, 442,107.72 and 259,459.20 is: 357,740.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,648.76 : 442,107.72 = 259,459.20 : x
  2. Step 2: Convert to fraction form
    320,648.76/442,107.72 = 259,459.20/x
  3. Step 3: Cross multiply
    320,648.76x = 442,107.72 × 259,459.20
  4. Step 4: Simplify right side
    320,648.76x = 114,708,915,345.02
  5. Step 5: Solve for x
    x = 114,708,915,345.02/320,648.76
  6. Step 6: Final answer
    x = 357,740.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.