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Finding the Fourth Proportional to 281,602.10, 388,983.57 and 209,857.57

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Solution

The fourth proportional to 281,602.10, 388,983.57 and 209,857.57 is: 289,881.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,602.10 : 388,983.57 = 209,857.57 : x
  2. Step 2: Convert to fraction form
    281,602.10/388,983.57 = 209,857.57/x
  3. Step 3: Cross multiply
    281,602.10x = 388,983.57 × 209,857.57
  4. Step 4: Simplify right side
    281,602.10x = 81,631,145,010.70
  5. Step 5: Solve for x
    x = 81,631,145,010.70/281,602.10
  6. Step 6: Final answer
    x = 289,881.16

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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.