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Finding the Fourth Proportional to 407,852.47, 611,986.47 and 288,675.55

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Solution

The fourth proportional to 407,852.47, 611,986.47 and 288,675.55 is: 433,160.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,852.47 : 611,986.47 = 288,675.55 : x
  2. Step 2: Convert to fraction form
    407,852.47/611,986.47 = 288,675.55/x
  3. Step 3: Cross multiply
    407,852.47x = 611,986.47 × 288,675.55
  4. Step 4: Simplify right side
    407,852.47x = 176,665,530,819.81
  5. Step 5: Solve for x
    x = 176,665,530,819.81/407,852.47
  6. Step 6: Final answer
    x = 433,160.38

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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.