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Finding the Fourth Proportional to 282,415.64, 389,636.12 and 180,500.74

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Solution

The fourth proportional to 282,415.64, 389,636.12 and 180,500.74 is: 249,028.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,415.64 : 389,636.12 = 180,500.74 : x
  2. Step 2: Convert to fraction form
    282,415.64/389,636.12 = 180,500.74/x
  3. Step 3: Cross multiply
    282,415.64x = 389,636.12 × 180,500.74
  4. Step 4: Simplify right side
    282,415.64x = 70,329,607,990.73
  5. Step 5: Solve for x
    x = 70,329,607,990.73/282,415.64
  6. Step 6: Final answer
    x = 249,028.73

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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.