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Finding the Fourth Proportional to 486,732.33, 728,322.26 and 287,148.33

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Solution

The fourth proportional to 486,732.33, 728,322.26 and 287,148.33 is: 429,674.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,732.33 : 728,322.26 = 287,148.33 : x
  2. Step 2: Convert to fraction form
    486,732.33/728,322.26 = 287,148.33/x
  3. Step 3: Cross multiply
    486,732.33x = 728,322.26 × 287,148.33
  4. Step 4: Simplify right side
    486,732.33x = 209,136,519,225.08
  5. Step 5: Solve for x
    x = 209,136,519,225.08/486,732.33
  6. Step 6: Final answer
    x = 429,674.60

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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.