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Finding the Fourth Proportional to 561,244.80, 843,940.80 and 470,006.40

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Solution

The fourth proportional to 561,244.80, 843,940.80 and 470,006.40 is: 706,746.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,244.80 : 843,940.80 = 470,006.40 : x
  2. Step 2: Convert to fraction form
    561,244.80/843,940.80 = 470,006.40/x
  3. Step 3: Cross multiply
    561,244.80x = 843,940.80 × 470,006.40
  4. Step 4: Simplify right side
    561,244.80x = 396,657,577,221.12
  5. Step 5: Solve for x
    x = 396,657,577,221.12/561,244.80
  6. Step 6: Final answer
    x = 706,746.11

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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.