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Finding the Fourth Proportional to 279,692.76, 385,972.54 and 152,365.64

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Solution

The fourth proportional to 279,692.76, 385,972.54 and 152,365.64 is: 210,262.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,692.76 : 385,972.54 = 152,365.64 : x
  2. Step 2: Convert to fraction form
    279,692.76/385,972.54 = 152,365.64/x
  3. Step 3: Cross multiply
    279,692.76x = 385,972.54 × 152,365.64
  4. Step 4: Simplify right side
    279,692.76x = 58,808,953,079.53
  5. Step 5: Solve for x
    x = 58,808,953,079.53/279,692.76
  6. Step 6: Final answer
    x = 210,262.69

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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.