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Finding the Fourth Proportional to 470,988.40, 706,482.60 and 419,378.80

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Solution

The fourth proportional to 470,988.40, 706,482.60 and 419,378.80 is: 629,068.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,988.40 : 706,482.60 = 419,378.80 : x
  2. Step 2: Convert to fraction form
    470,988.40/706,482.60 = 419,378.80/x
  3. Step 3: Cross multiply
    470,988.40x = 706,482.60 × 419,378.80
  4. Step 4: Simplify right side
    470,988.40x = 296,283,825,008.88
  5. Step 5: Solve for x
    x = 296,283,825,008.88/470,988.40
  6. Step 6: Final answer
    x = 629,068.20

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Similar ratio
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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.