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Finding the Fourth Proportional to 282,411.63, 389,630.61 and 180,496.74

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Solution

The fourth proportional to 282,411.63, 389,630.61 and 180,496.74 is: 249,023.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,411.63 : 389,630.61 = 180,496.74 : x
  2. Step 2: Convert to fraction form
    282,411.63/389,630.61 = 180,496.74/x
  3. Step 3: Cross multiply
    282,411.63x = 389,630.61 × 180,496.74
  4. Step 4: Simplify right side
    282,411.63x = 70,327,054,909.21
  5. Step 5: Solve for x
    x = 70,327,054,909.21/282,411.63
  6. Step 6: Final answer
    x = 249,023.23

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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.