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Finding the Fourth Proportional to 412,648.68, 618,973.02 and 272,374.50

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Solution

The fourth proportional to 412,648.68, 618,973.02 and 272,374.50 is: 408,561.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,648.68 : 618,973.02 = 272,374.50 : x
  2. Step 2: Convert to fraction form
    412,648.68/618,973.02 = 272,374.50/x
  3. Step 3: Cross multiply
    412,648.68x = 618,973.02 × 272,374.50
  4. Step 4: Simplify right side
    412,648.68x = 168,592,466,835.99
  5. Step 5: Solve for x
    x = 168,592,466,835.99/412,648.68
  6. Step 6: Final answer
    x = 408,561.75

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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.