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Finding the Fourth Proportional to 289,709.60, 434,564.40 and 205,728.80

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Solution

The fourth proportional to 289,709.60, 434,564.40 and 205,728.80 is: 308,593.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,709.60 : 434,564.40 = 205,728.80 : x
  2. Step 2: Convert to fraction form
    289,709.60/434,564.40 = 205,728.80/x
  3. Step 3: Cross multiply
    289,709.60x = 434,564.40 × 205,728.80
  4. Step 4: Simplify right side
    289,709.60x = 89,402,412,534.72
  5. Step 5: Solve for x
    x = 89,402,412,534.72/289,709.60
  6. Step 6: Final answer
    x = 308,593.20

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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.