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Finding the Fourth Proportional to 470,493, 649,281.18 and 255,633.32

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Solution

The fourth proportional to 470,493, 649,281.18 and 255,633.32 is: 352,774.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,493 : 649,281.18 = 255,633.32 : x
  2. Step 2: Convert to fraction form
    470,493/649,281.18 = 255,633.32/x
  3. Step 3: Cross multiply
    470,493x = 649,281.18 × 255,633.32
  4. Step 4: Simplify right side
    470,493x = 165,977,903,656.92
  5. Step 5: Solve for x
    x = 165,977,903,656.92/470,493
  6. Step 6: Final answer
    x = 352,774.44

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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.