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Finding the Fourth Proportional to 217,304.98, 299,881.56 and 120,515.74

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Solution

The fourth proportional to 217,304.98, 299,881.56 and 120,515.74 is: 166,312.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,304.98 : 299,881.56 = 120,515.74 : x
  2. Step 2: Convert to fraction form
    217,304.98/299,881.56 = 120,515.74/x
  3. Step 3: Cross multiply
    217,304.98x = 299,881.56 × 120,515.74
  4. Step 4: Simplify right side
    217,304.98x = 36,140,448,115.75
  5. Step 5: Solve for x
    x = 36,140,448,115.75/217,304.98
  6. Step 6: Final answer
    x = 166,312.10

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1.5x scale

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.