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Finding the Fourth Proportional to 460,977, 691,582.14 and 128,553

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Solution

The fourth proportional to 460,977, 691,582.14 and 128,553 is: 192,862.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,977 : 691,582.14 = 128,553 : x
  2. Step 2: Convert to fraction form
    460,977/691,582.14 = 128,553/x
  3. Step 3: Cross multiply
    460,977x = 691,582.14 × 128,553
  4. Step 4: Simplify right side
    460,977x = 88,904,958,843.42
  5. Step 5: Solve for x
    x = 88,904,958,843.42/460,977
  6. Step 6: Final answer
    x = 192,862.03

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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.