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Finding the Fourth Proportional to 470,673.20, 706,009.80 and 420,906.80

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Solution

The fourth proportional to 470,673.20, 706,009.80 and 420,906.80 is: 631,360.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,673.20 : 706,009.80 = 420,906.80 : x
  2. Step 2: Convert to fraction form
    470,673.20/706,009.80 = 420,906.80/x
  3. Step 3: Cross multiply
    470,673.20x = 706,009.80 × 420,906.80
  4. Step 4: Simplify right side
    470,673.20x = 297,164,325,686.64
  5. Step 5: Solve for x
    x = 297,164,325,686.64/470,673.20
  6. Step 6: Final answer
    x = 631,360.20

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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.