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Finding the Fourth Proportional to 288,599.50, 432,905.73 and 99,059.50

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Solution

The fourth proportional to 288,599.50, 432,905.73 and 99,059.50 is: 148,591.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,599.50 : 432,905.73 = 99,059.50 : x
  2. Step 2: Convert to fraction form
    288,599.50/432,905.73 = 99,059.50/x
  3. Step 3: Cross multiply
    288,599.50x = 432,905.73 × 99,059.50
  4. Step 4: Simplify right side
    288,599.50x = 42,883,425,160.94
  5. Step 5: Solve for x
    x = 42,883,425,160.94/288,599.50
  6. Step 6: Final answer
    x = 148,591.47

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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.