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Finding the Fourth Proportional to 561,381.30, 844,145.55 and 470,142.90

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Solution

The fourth proportional to 561,381.30, 844,145.55 and 470,142.90 is: 706,950.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,381.30 : 844,145.55 = 470,142.90 : x
  2. Step 2: Convert to fraction form
    561,381.30/844,145.55 = 470,142.90/x
  3. Step 3: Cross multiply
    561,381.30x = 844,145.55 × 470,142.90
  4. Step 4: Simplify right side
    561,381.30x = 396,869,036,899.10
  5. Step 5: Solve for x
    x = 396,869,036,899.10/561,381.30
  6. Step 6: Final answer
    x = 706,950.94

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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.