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Finding the Fourth Proportional to 286,457.82, 429,387.38 and 159,912.53

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Solution

The fourth proportional to 286,457.82, 429,387.38 and 159,912.53 is: 239,701.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,457.82 : 429,387.38 = 159,912.53 : x
  2. Step 2: Convert to fraction form
    286,457.82/429,387.38 = 159,912.53/x
  3. Step 3: Cross multiply
    286,457.82x = 429,387.38 × 159,912.53
  4. Step 4: Simplify right side
    286,457.82x = 68,664,421,549.25
  5. Step 5: Solve for x
    x = 68,664,421,549.25/286,457.82
  6. Step 6: Final answer
    x = 239,701.69

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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.