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Finding the Fourth Proportional to 450,031.74, 675,378.90 and 213,373.50

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Solution

The fourth proportional to 450,031.74, 675,378.90 and 213,373.50 is: 320,217.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,031.74 : 675,378.90 = 213,373.50 : x
  2. Step 2: Convert to fraction form
    450,031.74/675,378.90 = 213,373.50/x
  3. Step 3: Cross multiply
    450,031.74x = 675,378.90 × 213,373.50
  4. Step 4: Simplify right side
    450,031.74x = 144,107,959,719.15
  5. Step 5: Solve for x
    x = 144,107,959,719.15/450,031.74
  6. Step 6: Final answer
    x = 320,217.32

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1.5x scale

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.