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Finding the Fourth Proportional to 397,406.60, 596,109.90 and 220,459.40

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Solution

The fourth proportional to 397,406.60, 596,109.90 and 220,459.40 is: 330,689.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,406.60 : 596,109.90 = 220,459.40 : x
  2. Step 2: Convert to fraction form
    397,406.60/596,109.90 = 220,459.40/x
  3. Step 3: Cross multiply
    397,406.60x = 596,109.90 × 220,459.40
  4. Step 4: Simplify right side
    397,406.60x = 131,418,030,888.06
  5. Step 5: Solve for x
    x = 131,418,030,888.06/397,406.60
  6. Step 6: Final answer
    x = 330,689.10

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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.