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Finding the Fourth Proportional to 282,305.04, 389,451 and 180,279.39

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Solution

The fourth proportional to 282,305.04, 389,451 and 180,279.39 is: 248,702.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,305.04 : 389,451 = 180,279.39 : x
  2. Step 2: Convert to fraction form
    282,305.04/389,451 = 180,279.39/x
  3. Step 3: Cross multiply
    282,305.04x = 389,451 × 180,279.39
  4. Step 4: Simplify right side
    282,305.04x = 70,209,988,714.89
  5. Step 5: Solve for x
    x = 70,209,988,714.89/282,305.04
  6. Step 6: Final answer
    x = 248,702.57

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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.