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Finding the Fourth Proportional to 409,307.81, 614,044.76 and 128,759.81

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Solution

The fourth proportional to 409,307.81, 614,044.76 and 128,759.81 is: 193,165.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,307.81 : 614,044.76 = 128,759.81 : x
  2. Step 2: Convert to fraction form
    409,307.81/614,044.76 = 128,759.81/x
  3. Step 3: Cross multiply
    409,307.81x = 614,044.76 × 128,759.81
  4. Step 4: Simplify right side
    409,307.81x = 79,064,285,985.30
  5. Step 5: Solve for x
    x = 79,064,285,985.30/409,307.81
  6. Step 6: Final answer
    x = 193,165.84

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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.