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Finding the Fourth Proportional to 517,411.30, 777,002.55 and 281,215.30

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Solution

The fourth proportional to 517,411.30, 777,002.55 and 281,215.30 is: 422,304.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,411.30 : 777,002.55 = 281,215.30 : x
  2. Step 2: Convert to fraction form
    517,411.30/777,002.55 = 281,215.30/x
  3. Step 3: Cross multiply
    517,411.30x = 777,002.55 × 281,215.30
  4. Step 4: Simplify right side
    517,411.30x = 218,505,005,199.02
  5. Step 5: Solve for x
    x = 218,505,005,199.02/517,411.30
  6. Step 6: Final answer
    x = 422,304.28

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1.5x scale

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.