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Finding the Fourth Proportional to 288,900.63, 432,996.01 and 162,274.70

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Solution

The fourth proportional to 288,900.63, 432,996.01 and 162,274.70 is: 243,212.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,900.63 : 432,996.01 = 162,274.70 : x
  2. Step 2: Convert to fraction form
    288,900.63/432,996.01 = 162,274.70/x
  3. Step 3: Cross multiply
    288,900.63x = 432,996.01 × 162,274.70
  4. Step 4: Simplify right side
    288,900.63x = 70,264,297,623.95
  5. Step 5: Solve for x
    x = 70,264,297,623.95/288,900.63
  6. Step 6: Final answer
    x = 243,212.68

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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.