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Finding the Fourth Proportional to 384,976.50, 577,423.15 and 128,780.03

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Solution

The fourth proportional to 384,976.50, 577,423.15 and 128,780.03 is: 193,156.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,976.50 : 577,423.15 = 128,780.03 : x
  2. Step 2: Convert to fraction form
    384,976.50/577,423.15 = 128,780.03/x
  3. Step 3: Cross multiply
    384,976.50x = 577,423.15 × 128,780.03
  4. Step 4: Simplify right side
    384,976.50x = 74,360,570,579.69
  5. Step 5: Solve for x
    x = 74,360,570,579.69/384,976.50
  6. Step 6: Final answer
    x = 193,156.13

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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.