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Finding the Fourth Proportional to 426,574.82, 639,896.25 and 146,094.50

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Solution

The fourth proportional to 426,574.82, 639,896.25 and 146,094.50 is: 219,153.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,574.82 : 639,896.25 = 146,094.50 : x
  2. Step 2: Convert to fraction form
    426,574.82/639,896.25 = 146,094.50/x
  3. Step 3: Cross multiply
    426,574.82x = 639,896.25 × 146,094.50
  4. Step 4: Simplify right side
    426,574.82x = 93,485,322,695.63
  5. Step 5: Solve for x
    x = 93,485,322,695.63/426,574.82
  6. Step 6: Final answer
    x = 219,153.40

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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.