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Finding the Fourth Proportional to 470,839.20, 706,258.80 and 302,877.60

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Solution

The fourth proportional to 470,839.20, 706,258.80 and 302,877.60 is: 454,316.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,839.20 : 706,258.80 = 302,877.60 : x
  2. Step 2: Convert to fraction form
    470,839.20/706,258.80 = 302,877.60/x
  3. Step 3: Cross multiply
    470,839.20x = 706,258.80 × 302,877.60
  4. Step 4: Simplify right side
    470,839.20x = 213,909,970,322.88
  5. Step 5: Solve for x
    x = 213,909,970,322.88/470,839.20
  6. Step 6: Final answer
    x = 454,316.40

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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.