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Finding the Fourth Proportional to 288,621.42, 432,996.03 and 99,077.55

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Solution

The fourth proportional to 288,621.42, 432,996.03 and 99,077.55 is: 148,638.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,621.42 : 432,996.03 = 99,077.55 : x
  2. Step 2: Convert to fraction form
    288,621.42/432,996.03 = 99,077.55/x
  3. Step 3: Cross multiply
    288,621.42x = 432,996.03 × 99,077.55
  4. Step 4: Simplify right side
    288,621.42x = 42,900,185,812.13
  5. Step 5: Solve for x
    x = 42,900,185,812.13/288,621.42
  6. Step 6: Final answer
    x = 148,638.26

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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.