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Finding the Fourth Proportional to 281,263.14, 422,186.31 and 188,417.70

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Solution

The fourth proportional to 281,263.14, 422,186.31 and 188,417.70 is: 282,821.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,263.14 : 422,186.31 = 188,417.70 : x
  2. Step 2: Convert to fraction form
    281,263.14/422,186.31 = 188,417.70/x
  3. Step 3: Cross multiply
    281,263.14x = 422,186.31 × 188,417.70
  4. Step 4: Simplify right side
    281,263.14x = 79,547,373,501.69
  5. Step 5: Solve for x
    x = 79,547,373,501.69/281,263.14
  6. Step 6: Final answer
    x = 282,821.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.