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Finding the Fourth Proportional to 352,297.40, 528,446.10 and 289,311.80

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Solution

The fourth proportional to 352,297.40, 528,446.10 and 289,311.80 is: 433,967.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,297.40 : 528,446.10 = 289,311.80 : x
  2. Step 2: Convert to fraction form
    352,297.40/528,446.10 = 289,311.80/x
  3. Step 3: Cross multiply
    352,297.40x = 528,446.10 × 289,311.80
  4. Step 4: Simplify right side
    352,297.40x = 152,885,692,393.98
  5. Step 5: Solve for x
    x = 152,885,692,393.98/352,297.40
  6. Step 6: Final answer
    x = 433,967.70

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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.