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Finding the Fourth Proportional to 206,304.91, 309,424.16 and 56,510.18

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Solution

The fourth proportional to 206,304.91, 309,424.16 and 56,510.18 is: 84,756.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,304.91 : 309,424.16 = 56,510.18 : x
  2. Step 2: Convert to fraction form
    206,304.91/309,424.16 = 56,510.18/x
  3. Step 3: Cross multiply
    206,304.91x = 309,424.16 × 56,510.18
  4. Step 4: Simplify right side
    206,304.91x = 17,485,615,682.17
  5. Step 5: Solve for x
    x = 17,485,615,682.17/206,304.91
  6. Step 6: Final answer
    x = 84,756.18

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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.