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Finding the Fourth Proportional to 767,780.80, 1,152,016.80 and 368,267.20

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Solution

The fourth proportional to 767,780.80, 1,152,016.80 and 368,267.20 is: 552,566.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,780.80 : 1,152,016.80 = 368,267.20 : x
  2. Step 2: Convert to fraction form
    767,780.80/1,152,016.80 = 368,267.20/x
  3. Step 3: Cross multiply
    767,780.80x = 1,152,016.80 × 368,267.20
  4. Step 4: Simplify right side
    767,780.80x = 424,250,001,288.96
  5. Step 5: Solve for x
    x = 424,250,001,288.96/767,780.80
  6. Step 6: Final answer
    x = 552,566.57

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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.