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Finding the Fourth Proportional to 282,419.64, 389,641.64 and 180,504.74

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Solution

The fourth proportional to 282,419.64, 389,641.64 and 180,504.74 is: 249,034.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,419.64 : 389,641.64 = 180,504.74 : x
  2. Step 2: Convert to fraction form
    282,419.64/389,641.64 = 180,504.74/x
  3. Step 3: Cross multiply
    282,419.64x = 389,641.64 × 180,504.74
  4. Step 4: Simplify right side
    282,419.64x = 70,332,162,921.37
  5. Step 5: Solve for x
    x = 70,332,162,921.37/282,419.64
  6. Step 6: Final answer
    x = 249,034.25

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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.