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Finding the Fourth Proportional to 409,351.68, 613,973.76 and 128,870.40

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Solution

The fourth proportional to 409,351.68, 613,973.76 and 128,870.40 is: 193,288.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,351.68 : 613,973.76 = 128,870.40 : x
  2. Step 2: Convert to fraction form
    409,351.68/613,973.76 = 128,870.40/x
  3. Step 3: Cross multiply
    409,351.68x = 613,973.76 × 128,870.40
  4. Step 4: Simplify right side
    409,351.68x = 79,123,044,040.70
  5. Step 5: Solve for x
    x = 79,123,044,040.70/409,351.68
  6. Step 6: Final answer
    x = 193,288.68

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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.