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Finding the Fourth Proportional to 412,812.40, 619,307.46 and 128,496.90

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Solution

The fourth proportional to 412,812.40, 619,307.46 and 128,496.90 is: 192,773.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,812.40 : 619,307.46 = 128,496.90 : x
  2. Step 2: Convert to fraction form
    412,812.40/619,307.46 = 128,496.90/x
  3. Step 3: Cross multiply
    412,812.40x = 619,307.46 × 128,496.90
  4. Step 4: Simplify right side
    412,812.40x = 79,579,088,756.87
  5. Step 5: Solve for x
    x = 79,579,088,756.87/412,812.40
  6. Step 6: Final answer
    x = 192,773.01

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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.