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Finding the Fourth Proportional to 282,508.56, 389,567.88 and 210,774.96

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Solution

The fourth proportional to 282,508.56, 389,567.88 and 210,774.96 is: 290,650.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,508.56 : 389,567.88 = 210,774.96 : x
  2. Step 2: Convert to fraction form
    282,508.56/389,567.88 = 210,774.96/x
  3. Step 3: Cross multiply
    282,508.56x = 389,567.88 × 210,774.96
  4. Step 4: Simplify right side
    282,508.56x = 82,111,154,324.28
  5. Step 5: Solve for x
    x = 82,111,154,324.28/282,508.56
  6. Step 6: Final answer
    x = 290,650.15

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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.