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Finding the Fourth Proportional to 458,464.90, 687,114.15 and 221,296.90

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Solution

The fourth proportional to 458,464.90, 687,114.15 and 221,296.90 is: 331,663.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,464.90 : 687,114.15 = 221,296.90 : x
  2. Step 2: Convert to fraction form
    458,464.90/687,114.15 = 221,296.90/x
  3. Step 3: Cross multiply
    458,464.90x = 687,114.15 × 221,296.90
  4. Step 4: Simplify right side
    458,464.90x = 152,056,231,341.14
  5. Step 5: Solve for x
    x = 152,056,231,341.14/458,464.90
  6. Step 6: Final answer
    x = 331,663.84

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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.