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Finding the Fourth Proportional to 470,919.20, 706,378.80 and 411,870.20

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Solution

The fourth proportional to 470,919.20, 706,378.80 and 411,870.20 is: 617,805.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,919.20 : 706,378.80 = 411,870.20 : x
  2. Step 2: Convert to fraction form
    470,919.20/706,378.80 = 411,870.20/x
  3. Step 3: Cross multiply
    470,919.20x = 706,378.80 × 411,870.20
  4. Step 4: Simplify right side
    470,919.20x = 290,936,377,631.76
  5. Step 5: Solve for x
    x = 290,936,377,631.76/470,919.20
  6. Step 6: Final answer
    x = 617,805.30

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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.