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Finding the Fourth Proportional to 384,159.84, 576,412.56 and 243,880.80

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Solution

The fourth proportional to 384,159.84, 576,412.56 and 243,880.80 is: 365,930.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,159.84 : 576,412.56 = 243,880.80 : x
  2. Step 2: Convert to fraction form
    384,159.84/576,412.56 = 243,880.80/x
  3. Step 3: Cross multiply
    384,159.84x = 576,412.56 × 243,880.80
  4. Step 4: Simplify right side
    384,159.84x = 140,575,956,262.85
  5. Step 5: Solve for x
    x = 140,575,956,262.85/384,159.84
  6. Step 6: Final answer
    x = 365,930.90

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1.5x scale

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.