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Finding the Fourth Proportional to 403,398.40, 604,838.40 and 166,835.20

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Solution

The fourth proportional to 403,398.40, 604,838.40 and 166,835.20 is: 250,145.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,398.40 : 604,838.40 = 166,835.20 : x
  2. Step 2: Convert to fraction form
    403,398.40/604,838.40 = 166,835.20/x
  3. Step 3: Cross multiply
    403,398.40x = 604,838.40 × 166,835.20
  4. Step 4: Simplify right side
    403,398.40x = 100,908,335,431.68
  5. Step 5: Solve for x
    x = 100,908,335,431.68/403,398.40
  6. Step 6: Final answer
    x = 250,145.60

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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.