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Finding the Fourth Proportional to 377,492.16, 520,941.53 and 205,411.48

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Solution

The fourth proportional to 377,492.16, 520,941.53 and 205,411.48 is: 283,469.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,492.16 : 520,941.53 = 205,411.48 : x
  2. Step 2: Convert to fraction form
    377,492.16/520,941.53 = 205,411.48/x
  3. Step 3: Cross multiply
    377,492.16x = 520,941.53 × 205,411.48
  4. Step 4: Simplify right side
    377,492.16x = 107,007,369,881.94
  5. Step 5: Solve for x
    x = 107,007,369,881.94/377,492.16
  6. Step 6: Final answer
    x = 283,469.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.