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Finding the Fourth Proportional to 377,178.72, 520,510.32 and 207,414

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Solution

The fourth proportional to 377,178.72, 520,510.32 and 207,414 is: 286,233.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,178.72 : 520,510.32 = 207,414 : x
  2. Step 2: Convert to fraction form
    377,178.72/520,510.32 = 207,414/x
  3. Step 3: Cross multiply
    377,178.72x = 520,510.32 × 207,414
  4. Step 4: Simplify right side
    377,178.72x = 107,961,127,512.48
  5. Step 5: Solve for x
    x = 107,961,127,512.48/377,178.72
  6. Step 6: Final answer
    x = 286,233.35

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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.