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Finding the Fourth Proportional to 486,736.08, 728,327.88 and 287,152.08

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Solution

The fourth proportional to 486,736.08, 728,327.88 and 287,152.08 is: 429,680.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,736.08 : 728,327.88 = 287,152.08 : x
  2. Step 2: Convert to fraction form
    486,736.08/728,327.88 = 287,152.08/x
  3. Step 3: Cross multiply
    486,736.08x = 728,327.88 × 287,152.08
  4. Step 4: Simplify right side
    486,736.08x = 209,140,865,663.99
  5. Step 5: Solve for x
    x = 209,140,865,663.99/486,736.08
  6. Step 6: Final answer
    x = 429,680.22

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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.