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Finding the Fourth Proportional to 375,400.76, 561,792.12 and 307,143.94

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Solution

The fourth proportional to 375,400.76, 561,792.12 and 307,143.94 is: 459,644.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,400.76 : 561,792.12 = 307,143.94 : x
  2. Step 2: Convert to fraction form
    375,400.76/561,792.12 = 307,143.94/x
  3. Step 3: Cross multiply
    375,400.76x = 561,792.12 × 307,143.94
  4. Step 4: Simplify right side
    375,400.76x = 172,551,045,197.75
  5. Step 5: Solve for x
    x = 172,551,045,197.75/375,400.76
  6. Step 6: Final answer
    x = 459,644.90

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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.