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Finding the Fourth Proportional to 882,692.40, 1,323,001.80 and 408,375.84

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Solution

The fourth proportional to 882,692.40, 1,323,001.80 and 408,375.84 is: 612,084.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    882,692.40 : 1,323,001.80 = 408,375.84 : x
  2. Step 2: Convert to fraction form
    882,692.40/1,323,001.80 = 408,375.84/x
  3. Step 3: Cross multiply
    882,692.40x = 1,323,001.80 × 408,375.84
  4. Step 4: Simplify right side
    882,692.40x = 540,281,971,396.51
  5. Step 5: Solve for x
    x = 540,281,971,396.51/882,692.40
  6. Step 6: Final answer
    x = 612,084.09

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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.