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Finding the Fourth Proportional to 290,573.64, 435,991.98 and 148,345.56

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Solution

The fourth proportional to 290,573.64, 435,991.98 and 148,345.56 is: 222,585.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,573.64 : 435,991.98 = 148,345.56 : x
  2. Step 2: Convert to fraction form
    290,573.64/435,991.98 = 148,345.56/x
  3. Step 3: Cross multiply
    290,573.64x = 435,991.98 × 148,345.56
  4. Step 4: Simplify right side
    290,573.64x = 64,677,474,428.61
  5. Step 5: Solve for x
    x = 64,677,474,428.61/290,573.64
  6. Step 6: Final answer
    x = 222,585.48

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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.