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Finding the Fourth Proportional to 450,713.17, 622,405.65 and 289,847.47

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Solution

The fourth proportional to 450,713.17, 622,405.65 and 289,847.47 is: 400,260.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,713.17 : 622,405.65 = 289,847.47 : x
  2. Step 2: Convert to fraction form
    450,713.17/622,405.65 = 289,847.47/x
  3. Step 3: Cross multiply
    450,713.17x = 622,405.65 × 289,847.47
  4. Step 4: Simplify right side
    450,713.17x = 180,402,702,966.21
  5. Step 5: Solve for x
    x = 180,402,702,966.21/450,713.17
  6. Step 6: Final answer
    x = 400,260.55

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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.