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Finding the Fourth Proportional to 470,948.20, 706,422.30 and 411,899.20

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Solution

The fourth proportional to 470,948.20, 706,422.30 and 411,899.20 is: 617,848.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,948.20 : 706,422.30 = 411,899.20 : x
  2. Step 2: Convert to fraction form
    470,948.20/706,422.30 = 411,899.20/x
  3. Step 3: Cross multiply
    470,948.20x = 706,422.30 × 411,899.20
  4. Step 4: Simplify right side
    470,948.20x = 290,974,780,232.16
  5. Step 5: Solve for x
    x = 290,974,780,232.16/470,948.20
  6. Step 6: Final answer
    x = 617,848.80

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1.5x scale

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.