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Finding the Fourth Proportional to 384,769.20, 577,153.80 and 243,051.60

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Solution

The fourth proportional to 384,769.20, 577,153.80 and 243,051.60 is: 364,577.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,769.20 : 577,153.80 = 243,051.60 : x
  2. Step 2: Convert to fraction form
    384,769.20/577,153.80 = 243,051.60/x
  3. Step 3: Cross multiply
    384,769.20x = 577,153.80 × 243,051.60
  4. Step 4: Simplify right side
    384,769.20x = 140,278,154,536.08
  5. Step 5: Solve for x
    x = 140,278,154,536.08/384,769.20
  6. Step 6: Final answer
    x = 364,577.40

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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.