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Finding the Fourth Proportional to 768,271.20, 1,152,406.80 and 207,304.80

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Solution

The fourth proportional to 768,271.20, 1,152,406.80 and 207,304.80 is: 310,957.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,271.20 : 1,152,406.80 = 207,304.80 : x
  2. Step 2: Convert to fraction form
    768,271.20/1,152,406.80 = 207,304.80/x
  3. Step 3: Cross multiply
    768,271.20x = 1,152,406.80 × 207,304.80
  4. Step 4: Simplify right side
    768,271.20x = 238,899,461,192.64
  5. Step 5: Solve for x
    x = 238,899,461,192.64/768,271.20
  6. Step 6: Final answer
    x = 310,957.20

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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.