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Finding the Fourth Proportional to 413,491.51, 619,862.73 and 287,191.39

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Solution

The fourth proportional to 413,491.51, 619,862.73 and 287,191.39 is: 430,526.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,491.51 : 619,862.73 = 287,191.39 : x
  2. Step 2: Convert to fraction form
    413,491.51/619,862.73 = 287,191.39/x
  3. Step 3: Cross multiply
    413,491.51x = 619,862.73 × 287,191.39
  4. Step 4: Simplify right side
    413,491.51x = 178,019,239,037.90
  5. Step 5: Solve for x
    x = 178,019,239,037.90/413,491.51
  6. Step 6: Final answer
    x = 430,526.95

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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.