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Finding the Fourth Proportional to 475,787.34, 713,611.54 and 138,737.42

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Solution

The fourth proportional to 475,787.34, 713,611.54 and 138,737.42 is: 208,085.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,787.34 : 713,611.54 = 138,737.42 : x
  2. Step 2: Convert to fraction form
    475,787.34/713,611.54 = 138,737.42/x
  3. Step 3: Cross multiply
    475,787.34x = 713,611.54 × 138,737.42
  4. Step 4: Simplify right side
    475,787.34x = 99,004,623,941.83
  5. Step 5: Solve for x
    x = 99,004,623,941.83/475,787.34
  6. Step 6: Final answer
    x = 208,085.87

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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.