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Finding the Fourth Proportional to 470,643.56, 649,493.12 and 255,783.63

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Solution

The fourth proportional to 470,643.56, 649,493.12 and 255,783.63 is: 352,984.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,643.56 : 649,493.12 = 255,783.63 : x
  2. Step 2: Convert to fraction form
    470,643.56/649,493.12 = 255,783.63/x
  3. Step 3: Cross multiply
    470,643.56x = 649,493.12 × 255,783.63
  4. Step 4: Simplify right side
    470,643.56x = 166,129,708,533.09
  5. Step 5: Solve for x
    x = 166,129,708,533.09/470,643.56
  6. Step 6: Final answer
    x = 352,984.14

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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.