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Finding the Fourth Proportional to 377,478.90, 565,715.01 and 140,583.06

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Solution

The fourth proportional to 377,478.90, 565,715.01 and 140,583.06 is: 210,687.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,478.90 : 565,715.01 = 140,583.06 : x
  2. Step 2: Convert to fraction form
    377,478.90/565,715.01 = 140,583.06/x
  3. Step 3: Cross multiply
    377,478.90x = 565,715.01 × 140,583.06
  4. Step 4: Simplify right side
    377,478.90x = 79,529,947,193.73
  5. Step 5: Solve for x
    x = 79,529,947,193.73/377,478.90
  6. Step 6: Final answer
    x = 210,687.13

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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.