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Finding the Fourth Proportional to 768,400, 1,152,692.04 and 235,851.28

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Solution

The fourth proportional to 768,400, 1,152,692.04 and 235,851.28 is: 353,805.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,400 : 1,152,692.04 = 235,851.28 : x
  2. Step 2: Convert to fraction form
    768,400/1,152,692.04 = 235,851.28/x
  3. Step 3: Cross multiply
    768,400x = 1,152,692.04 × 235,851.28
  4. Step 4: Simplify right side
    768,400x = 271,863,893,079.81
  5. Step 5: Solve for x
    x = 271,863,893,079.81/768,400
  6. Step 6: Final answer
    x = 353,805.17

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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.