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Finding the Fourth Proportional to 470,218.67, 648,891.10 and 255,354.12

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Solution

The fourth proportional to 470,218.67, 648,891.10 and 255,354.12 is: 352,382.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,218.67 : 648,891.10 = 255,354.12 : x
  2. Step 2: Convert to fraction form
    470,218.67/648,891.10 = 255,354.12/x
  3. Step 3: Cross multiply
    470,218.67x = 648,891.10 × 255,354.12
  4. Step 4: Simplify right side
    470,218.67x = 165,697,016,135.53
  5. Step 5: Solve for x
    x = 165,697,016,135.53/470,218.67
  6. Step 6: Final answer
    x = 352,382.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.