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Finding the Fourth Proportional to 288,902.63, 432,999.01 and 162,276.70

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Solution

The fourth proportional to 288,902.63, 432,999.01 and 162,276.70 is: 243,215.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,902.63 : 432,999.01 = 162,276.70 : x
  2. Step 2: Convert to fraction form
    288,902.63/432,999.01 = 162,276.70/x
  3. Step 3: Cross multiply
    288,902.63x = 432,999.01 × 162,276.70
  4. Step 4: Simplify right side
    288,902.63x = 70,265,650,446.07
  5. Step 5: Solve for x
    x = 70,265,650,446.07/288,902.63
  6. Step 6: Final answer
    x = 243,215.68

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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.