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Finding the Fourth Proportional to 450,701.42, 622,389.42 and 289,835.82

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Solution

The fourth proportional to 450,701.42, 622,389.42 and 289,835.82 is: 400,244.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,701.42 : 622,389.42 = 289,835.82 : x
  2. Step 2: Convert to fraction form
    450,701.42/622,389.42 = 289,835.82/x
  3. Step 3: Cross multiply
    450,701.42x = 622,389.42 × 289,835.82
  4. Step 4: Simplify right side
    450,701.42x = 180,390,747,905.02
  5. Step 5: Solve for x
    x = 180,390,747,905.02/450,701.42
  6. Step 6: Final answer
    x = 400,244.47

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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.