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Finding the Fourth Proportional to 359,729.40, 496,461.90 and 208,817.40

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Solution

The fourth proportional to 359,729.40, 496,461.90 and 208,817.40 is: 288,188.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,729.40 : 496,461.90 = 208,817.40 : x
  2. Step 2: Convert to fraction form
    359,729.40/496,461.90 = 208,817.40/x
  3. Step 3: Cross multiply
    359,729.40x = 496,461.90 × 208,817.40
  4. Step 4: Simplify right side
    359,729.40x = 103,669,883,157.06
  5. Step 5: Solve for x
    x = 103,669,883,157.06/359,729.40
  6. Step 6: Final answer
    x = 288,188.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.