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Finding the Fourth Proportional to 770,271, 1,062,616.08 and 498,426.54

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Solution

The fourth proportional to 770,271, 1,062,616.08 and 498,426.54 is: 687,597.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,271 : 1,062,616.08 = 498,426.54 : x
  2. Step 2: Convert to fraction form
    770,271/1,062,616.08 = 498,426.54/x
  3. Step 3: Cross multiply
    770,271x = 1,062,616.08 × 498,426.54
  4. Step 4: Simplify right side
    770,271x = 529,636,056,102.76
  5. Step 5: Solve for x
    x = 529,636,056,102.76/770,271
  6. Step 6: Final answer
    x = 687,597.04

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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.