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Finding the Fourth Proportional to 208,536.40, 312,299.46 and 144,314.58

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Solution

The fourth proportional to 208,536.40, 312,299.46 and 144,314.58 is: 216,122.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,536.40 : 312,299.46 = 144,314.58 : x
  2. Step 2: Convert to fraction form
    208,536.40/312,299.46 = 144,314.58/x
  3. Step 3: Cross multiply
    208,536.40x = 312,299.46 × 144,314.58
  4. Step 4: Simplify right side
    208,536.40x = 45,069,365,404.13
  5. Step 5: Solve for x
    x = 45,069,365,404.13/208,536.40
  6. Step 6: Final answer
    x = 216,122.30

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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.