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Finding the Fourth Proportional to 1,985,209.71, 2,977,814.84 and 489,301.71

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Solution

The fourth proportional to 1,985,209.71, 2,977,814.84 and 489,301.71 is: 733,952.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985,209.71 : 2,977,814.84 = 489,301.71 : x
  2. Step 2: Convert to fraction form
    1,985,209.71/2,977,814.84 = 489,301.71/x
  3. Step 3: Cross multiply
    1,985,209.71x = 2,977,814.84 × 489,301.71
  4. Step 4: Simplify right side
    1,985,209.71x = 1,457,049,890,828.87
  5. Step 5: Solve for x
    x = 1,457,049,890,828.87/1,985,209.71
  6. Step 6: Final answer
    x = 733,952.63

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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.