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Finding the Fourth Proportional to 450,137.80, 675,098.70 and 260,187.40

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Solution

The fourth proportional to 450,137.80, 675,098.70 and 260,187.40 is: 390,218.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,137.80 : 675,098.70 = 260,187.40 : x
  2. Step 2: Convert to fraction form
    450,137.80/675,098.70 = 260,187.40/x
  3. Step 3: Cross multiply
    450,137.80x = 675,098.70 × 260,187.40
  4. Step 4: Simplify right side
    450,137.80x = 175,652,175,496.38
  5. Step 5: Solve for x
    x = 175,652,175,496.38/450,137.80
  6. Step 6: Final answer
    x = 390,218.67

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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.