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Finding the Fourth Proportional to 347,165.40, 520,748.10 and 288,116.40

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Solution

The fourth proportional to 347,165.40, 520,748.10 and 288,116.40 is: 432,174.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,165.40 : 520,748.10 = 288,116.40 : x
  2. Step 2: Convert to fraction form
    347,165.40/520,748.10 = 288,116.40/x
  3. Step 3: Cross multiply
    347,165.40x = 520,748.10 × 288,116.40
  4. Step 4: Simplify right side
    347,165.40x = 150,036,067,878.84
  5. Step 5: Solve for x
    x = 150,036,067,878.84/347,165.40
  6. Step 6: Final answer
    x = 432,174.60

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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.