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Finding the Fourth Proportional to 561,376.80, 844,138.80 and 470,138.40

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Solution

The fourth proportional to 561,376.80, 844,138.80 and 470,138.40 is: 706,944.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,376.80 : 844,138.80 = 470,138.40 : x
  2. Step 2: Convert to fraction form
    561,376.80/844,138.80 = 470,138.40/x
  3. Step 3: Cross multiply
    561,376.80x = 844,138.80 × 470,138.40
  4. Step 4: Simplify right side
    561,376.80x = 396,862,064,809.92
  5. Step 5: Solve for x
    x = 396,862,064,809.92/561,376.80
  6. Step 6: Final answer
    x = 706,944.19

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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.