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Finding the Fourth Proportional to 403,709.10, 606,875.85 and 286,194.30

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Solution

The fourth proportional to 403,709.10, 606,875.85 and 286,194.30 is: 430,221.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,709.10 : 606,875.85 = 286,194.30 : x
  2. Step 2: Convert to fraction form
    403,709.10/606,875.85 = 286,194.30/x
  3. Step 3: Cross multiply
    403,709.10x = 606,875.85 × 286,194.30
  4. Step 4: Simplify right side
    403,709.10x = 173,684,409,077.66
  5. Step 5: Solve for x
    x = 173,684,409,077.66/403,709.10
  6. Step 6: Final answer
    x = 430,221.68

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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.