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Finding the Fourth Proportional to 377,382, 520,787.16 and 207,612.48

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Solution

The fourth proportional to 377,382, 520,787.16 and 207,612.48 is: 286,505.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,382 : 520,787.16 = 207,612.48 : x
  2. Step 2: Convert to fraction form
    377,382/520,787.16 = 207,612.48/x
  3. Step 3: Cross multiply
    377,382x = 520,787.16 × 207,612.48
  4. Step 4: Simplify right side
    377,382x = 108,121,913,839.76
  5. Step 5: Solve for x
    x = 108,121,913,839.76/377,382
  6. Step 6: Final answer
    x = 286,505.22

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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.