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Finding the Fourth Proportional to 450,730.71, 622,429.79 and 289,865.07

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Solution

The fourth proportional to 450,730.71, 622,429.79 and 289,865.07 is: 400,284.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,730.71 : 622,429.79 = 289,865.07 : x
  2. Step 2: Convert to fraction form
    450,730.71/622,429.79 = 289,865.07/x
  3. Step 3: Cross multiply
    450,730.71x = 622,429.79 × 289,865.07
  4. Step 4: Simplify right side
    450,730.71x = 180,420,653,199.11
  5. Step 5: Solve for x
    x = 180,420,653,199.11/450,730.71
  6. Step 6: Final answer
    x = 400,284.80

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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.