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Finding the Fourth Proportional to 399,655.72, 599,710.26 and 146,903.32

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Solution

The fourth proportional to 399,655.72, 599,710.26 and 146,903.32 is: 220,438.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,655.72 : 599,710.26 = 146,903.32 : x
  2. Step 2: Convert to fraction form
    399,655.72/599,710.26 = 146,903.32/x
  3. Step 3: Cross multiply
    399,655.72x = 599,710.26 × 146,903.32
  4. Step 4: Simplify right side
    399,655.72x = 88,099,428,232.06
  5. Step 5: Solve for x
    x = 88,099,428,232.06/399,655.72
  6. Step 6: Final answer
    x = 220,438.30

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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.