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Finding the Fourth Proportional to 384,761.70, 577,142.55 and 243,044.10

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Solution

The fourth proportional to 384,761.70, 577,142.55 and 243,044.10 is: 364,566.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,761.70 : 577,142.55 = 243,044.10 : x
  2. Step 2: Convert to fraction form
    384,761.70/577,142.55 = 243,044.10/x
  3. Step 3: Cross multiply
    384,761.70x = 577,142.55 × 243,044.10
  4. Step 4: Simplify right side
    384,761.70x = 140,271,091,636.46
  5. Step 5: Solve for x
    x = 140,271,091,636.46/384,761.70
  6. Step 6: Final answer
    x = 364,566.15

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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.