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Finding the Fourth Proportional to 470,810.30, 706,215.45 and 419,200.70

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Solution

The fourth proportional to 470,810.30, 706,215.45 and 419,200.70 is: 628,801.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,810.30 : 706,215.45 = 419,200.70 : x
  2. Step 2: Convert to fraction form
    470,810.30/706,215.45 = 419,200.70/x
  3. Step 3: Cross multiply
    470,810.30x = 706,215.45 × 419,200.70
  4. Step 4: Simplify right side
    470,810.30x = 296,046,010,990.82
  5. Step 5: Solve for x
    x = 296,046,010,990.82/470,810.30
  6. Step 6: Final answer
    x = 628,801.05

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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.