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Finding the Fourth Proportional to 340,071.56, 509,931.54 and 100,154.24

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Solution

The fourth proportional to 340,071.56, 509,931.54 and 100,154.24 is: 150,179.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,071.56 : 509,931.54 = 100,154.24 : x
  2. Step 2: Convert to fraction form
    340,071.56/509,931.54 = 100,154.24/x
  3. Step 3: Cross multiply
    340,071.56x = 509,931.54 × 100,154.24
  4. Step 4: Simplify right side
    340,071.56x = 51,071,805,840.73
  5. Step 5: Solve for x
    x = 51,071,805,840.73/340,071.56
  6. Step 6: Final answer
    x = 150,179.59

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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.