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Finding the Fourth Proportional to 770,810, 1,156,292.72 and 265,304.40

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Solution

The fourth proportional to 770,810, 1,156,292.72 and 265,304.40 is: 397,983.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,810 : 1,156,292.72 = 265,304.40 : x
  2. Step 2: Convert to fraction form
    770,810/1,156,292.72 = 265,304.40/x
  3. Step 3: Cross multiply
    770,810x = 1,156,292.72 × 265,304.40
  4. Step 4: Simplify right side
    770,810x = 306,769,546,303.97
  5. Step 5: Solve for x
    x = 306,769,546,303.97/770,810
  6. Step 6: Final answer
    x = 397,983.35

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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.