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Finding the Fourth Proportional to 459,687.20, 689,530.80 and 302,093.60

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Solution

The fourth proportional to 459,687.20, 689,530.80 and 302,093.60 is: 453,140.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,687.20 : 689,530.80 = 302,093.60 : x
  2. Step 2: Convert to fraction form
    459,687.20/689,530.80 = 302,093.60/x
  3. Step 3: Cross multiply
    459,687.20x = 689,530.80 × 302,093.60
  4. Step 4: Simplify right side
    459,687.20x = 208,302,841,682.88
  5. Step 5: Solve for x
    x = 208,302,841,682.88/459,687.20
  6. Step 6: Final answer
    x = 453,140.40

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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.