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Finding the Fourth Proportional to 561,705.84, 774,964.80 and 319,817.30

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Solution

The fourth proportional to 561,705.84, 774,964.80 and 319,817.30 is: 441,240.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,705.84 : 774,964.80 = 319,817.30 : x
  2. Step 2: Convert to fraction form
    561,705.84/774,964.80 = 319,817.30/x
  3. Step 3: Cross multiply
    561,705.84x = 774,964.80 × 319,817.30
  4. Step 4: Simplify right side
    561,705.84x = 247,847,146,056.22
  5. Step 5: Solve for x
    x = 247,847,146,056.22/561,705.84
  6. Step 6: Final answer
    x = 441,240.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.