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Finding the Fourth Proportional to 401,432.40, 601,638.30 and 164,507.40

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Solution

The fourth proportional to 401,432.40, 601,638.30 and 164,507.40 is: 246,551.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,432.40 : 601,638.30 = 164,507.40 : x
  2. Step 2: Convert to fraction form
    401,432.40/601,638.30 = 164,507.40/x
  3. Step 3: Cross multiply
    401,432.40x = 601,638.30 × 164,507.40
  4. Step 4: Simplify right side
    401,432.40x = 98,973,952,473.42
  5. Step 5: Solve for x
    x = 98,973,952,473.42/401,432.40
  6. Step 6: Final answer
    x = 246,551.98

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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.