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Finding the Fourth Proportional to 397,459.90, 596,189.85 and 353,914.30

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Solution

The fourth proportional to 397,459.90, 596,189.85 and 353,914.30 is: 530,871.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,459.90 : 596,189.85 = 353,914.30 : x
  2. Step 2: Convert to fraction form
    397,459.90/596,189.85 = 353,914.30/x
  3. Step 3: Cross multiply
    397,459.90x = 596,189.85 × 353,914.30
  4. Step 4: Simplify right side
    397,459.90x = 211,000,113,429.86
  5. Step 5: Solve for x
    x = 211,000,113,429.86/397,459.90
  6. Step 6: Final answer
    x = 530,871.45

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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.