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Finding the Fourth Proportional to 403,104.20, 604,656.30 and 146,956

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Solution

The fourth proportional to 403,104.20, 604,656.30 and 146,956 is: 220,434

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,104.20 : 604,656.30 = 146,956 : x
  2. Step 2: Convert to fraction form
    403,104.20/604,656.30 = 146,956/x
  3. Step 3: Cross multiply
    403,104.20x = 604,656.30 × 146,956
  4. Step 4: Simplify right side
    403,104.20x = 88,857,871,222.80
  5. Step 5: Solve for x
    x = 88,857,871,222.80/403,104.20
  6. Step 6: Final answer
    x = 220,434

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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.